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Finding the Fourth Proportional to 22,996,938.80, 34,495,408.20 and 11,659,530.80

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Solution

The fourth proportional to 22,996,938.80, 34,495,408.20 and 11,659,530.80 is: 17,489,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996,938.80 : 34,495,408.20 = 11,659,530.80 : x
  2. Step 2: Convert to fraction form
    22,996,938.80/34,495,408.20 = 11,659,530.80/x
  3. Step 3: Cross multiply
    22,996,938.80x = 34,495,408.20 × 11,659,530.80
  4. Step 4: Simplify right side
    22,996,938.80x = 402,200,274,366,472.62
  5. Step 5: Solve for x
    x = 402,200,274,366,472.62/22,996,938.80
  6. Step 6: Final answer
    x = 17,489,296.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.