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Finding the Fourth Proportional to 22,677.48, 34,026.48 and 11,578.44

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Solution

The fourth proportional to 22,677.48, 34,026.48 and 11,578.44 is: 17,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.48 : 34,026.48 = 11,578.44 : x
  2. Step 2: Convert to fraction form
    22,677.48/34,026.48 = 11,578.44/x
  3. Step 3: Cross multiply
    22,677.48x = 34,026.48 × 11,578.44
  4. Step 4: Simplify right side
    22,677.48x = 393,973,557.09
  5. Step 5: Solve for x
    x = 393,973,557.09/22,677.48
  6. Step 6: Final answer
    x = 17,372.90

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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.