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Finding the Fourth Proportional to 14,691.57, 20,278.45 and 9,314.92

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Solution

The fourth proportional to 14,691.57, 20,278.45 and 9,314.92 is: 12,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.57 : 20,278.45 = 9,314.92 : x
  2. Step 2: Convert to fraction form
    14,691.57/20,278.45 = 9,314.92/x
  3. Step 3: Cross multiply
    14,691.57x = 20,278.45 × 9,314.92
  4. Step 4: Simplify right side
    14,691.57x = 188,892,139.47
  5. Step 5: Solve for x
    x = 188,892,139.47/14,691.57
  6. Step 6: Final answer
    x = 12,857.18

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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.