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Finding the Fourth Proportional to 22,419.51, 30,938.31 and 12,861

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Solution

The fourth proportional to 22,419.51, 30,938.31 and 12,861 is: 17,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419.51 : 30,938.31 = 12,861 : x
  2. Step 2: Convert to fraction form
    22,419.51/30,938.31 = 12,861/x
  3. Step 3: Cross multiply
    22,419.51x = 30,938.31 × 12,861
  4. Step 4: Simplify right side
    22,419.51x = 397,897,604.91
  5. Step 5: Solve for x
    x = 397,897,604.91/22,419.51
  6. Step 6: Final answer
    x = 17,747.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.