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Finding the Fourth Proportional to 22,207.71, 30,632.17 and 14,237.31

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Solution

The fourth proportional to 22,207.71, 30,632.17 and 14,237.31 is: 19,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,207.71 : 30,632.17 = 14,237.31 : x
  2. Step 2: Convert to fraction form
    22,207.71/30,632.17 = 14,237.31/x
  3. Step 3: Cross multiply
    22,207.71x = 30,632.17 × 14,237.31
  4. Step 4: Simplify right side
    22,207.71x = 436,119,700.26
  5. Step 5: Solve for x
    x = 436,119,700.26/22,207.71
  6. Step 6: Final answer
    x = 19,638.21

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