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Finding the Fourth Proportional to 16,642.73, 22,967.13 and 9,472.30

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Solution

The fourth proportional to 16,642.73, 22,967.13 and 9,472.30 is: 13,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.73 : 22,967.13 = 9,472.30 : x
  2. Step 2: Convert to fraction form
    16,642.73/22,967.13 = 9,472.30/x
  3. Step 3: Cross multiply
    16,642.73x = 22,967.13 × 9,472.30
  4. Step 4: Simplify right side
    16,642.73x = 217,551,409.50
  5. Step 5: Solve for x
    x = 217,551,409.50/16,642.73
  6. Step 6: Final answer
    x = 13,071.86

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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.