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Finding the Fourth Proportional to 16,471.43, 22,730.58 and 8,917.76

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Solution

The fourth proportional to 16,471.43, 22,730.58 and 8,917.76 is: 12,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.43 : 22,730.58 = 8,917.76 : x
  2. Step 2: Convert to fraction form
    16,471.43/22,730.58 = 8,917.76/x
  3. Step 3: Cross multiply
    16,471.43x = 22,730.58 × 8,917.76
  4. Step 4: Simplify right side
    16,471.43x = 202,705,857.10
  5. Step 5: Solve for x
    x = 202,705,857.10/16,471.43
  6. Step 6: Final answer
    x = 12,306.51

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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.