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Finding the Fourth Proportional to 20,684, 28,545.72 and 13,129.40

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Solution

The fourth proportional to 20,684, 28,545.72 and 13,129.40 is: 18,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684 : 28,545.72 = 13,129.40 : x
  2. Step 2: Convert to fraction form
    20,684/28,545.72 = 13,129.40/x
  3. Step 3: Cross multiply
    20,684x = 28,545.72 × 13,129.40
  4. Step 4: Simplify right side
    20,684x = 374,788,176.17
  5. Step 5: Solve for x
    x = 374,788,176.17/20,684
  6. Step 6: Final answer
    x = 18,119.71

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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.