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Finding the Fourth Proportional to 22,563.86, 31,136.88 and 13,489.40

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Solution

The fourth proportional to 22,563.86, 31,136.88 and 13,489.40 is: 18,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.86 : 31,136.88 = 13,489.40 : x
  2. Step 2: Convert to fraction form
    22,563.86/31,136.88 = 13,489.40/x
  3. Step 3: Cross multiply
    22,563.86x = 31,136.88 × 13,489.40
  4. Step 4: Simplify right side
    22,563.86x = 420,017,673.39
  5. Step 5: Solve for x
    x = 420,017,673.39/22,563.86
  6. Step 6: Final answer
    x = 18,614.62

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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.