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Finding the Fourth Proportional to 16,538.73, 22,807.89 and 12,755.90

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Solution

The fourth proportional to 16,538.73, 22,807.89 and 12,755.90 is: 17,591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.73 : 22,807.89 = 12,755.90 : x
  2. Step 2: Convert to fraction form
    16,538.73/22,807.89 = 12,755.90/x
  3. Step 3: Cross multiply
    16,538.73x = 22,807.89 × 12,755.90
  4. Step 4: Simplify right side
    16,538.73x = 290,935,050.01
  5. Step 5: Solve for x
    x = 290,935,050.01/16,538.73
  6. Step 6: Final answer
    x = 17,591.14

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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.