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Finding the Fourth Proportional to 22,683.96, 31,292.14 and 15,614.20

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Solution

The fourth proportional to 22,683.96, 31,292.14 and 15,614.20 is: 21,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.96 : 31,292.14 = 15,614.20 : x
  2. Step 2: Convert to fraction form
    22,683.96/31,292.14 = 15,614.20/x
  3. Step 3: Cross multiply
    22,683.96x = 31,292.14 × 15,614.20
  4. Step 4: Simplify right side
    22,683.96x = 488,601,732.39
  5. Step 5: Solve for x
    x = 488,601,732.39/22,683.96
  6. Step 6: Final answer
    x = 21,539.53

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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.