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Finding the Fourth Proportional to 16,472.30, 22,731.36 and 9,204.46

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Solution

The fourth proportional to 16,472.30, 22,731.36 and 9,204.46 is: 12,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472.30 : 22,731.36 = 9,204.46 : x
  2. Step 2: Convert to fraction form
    16,472.30/22,731.36 = 9,204.46/x
  3. Step 3: Cross multiply
    16,472.30x = 22,731.36 × 9,204.46
  4. Step 4: Simplify right side
    16,472.30x = 209,229,837.04
  5. Step 5: Solve for x
    x = 209,229,837.04/16,472.30
  6. Step 6: Final answer
    x = 12,701.92

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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.