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Finding the Fourth Proportional to 20,498.16, 28,287.12 and 11,545.68

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Solution

The fourth proportional to 20,498.16, 28,287.12 and 11,545.68 is: 15,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.16 : 28,287.12 = 11,545.68 : x
  2. Step 2: Convert to fraction form
    20,498.16/28,287.12 = 11,545.68/x
  3. Step 3: Cross multiply
    20,498.16x = 28,287.12 × 11,545.68
  4. Step 4: Simplify right side
    20,498.16x = 326,594,035.64
  5. Step 5: Solve for x
    x = 326,594,035.64/20,498.16
  6. Step 6: Final answer
    x = 15,932.85

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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.