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Finding the Fourth Proportional to 15,136.86, 20,902.14 and 14,641.14

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Solution

The fourth proportional to 15,136.86, 20,902.14 and 14,641.14 is: 20,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.86 : 20,902.14 = 14,641.14 : x
  2. Step 2: Convert to fraction form
    15,136.86/20,902.14 = 14,641.14/x
  3. Step 3: Cross multiply
    15,136.86x = 20,902.14 × 14,641.14
  4. Step 4: Simplify right side
    15,136.86x = 306,031,158.04
  5. Step 5: Solve for x
    x = 306,031,158.04/15,136.86
  6. Step 6: Final answer
    x = 20,217.61

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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.