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Finding the Fourth Proportional to 16,557.59, 22,849.47 and 9,105.59

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Solution

The fourth proportional to 16,557.59, 22,849.47 and 9,105.59 is: 12,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,557.59 : 22,849.47 = 9,105.59 : x
  2. Step 2: Convert to fraction form
    16,557.59/22,849.47 = 9,105.59/x
  3. Step 3: Cross multiply
    16,557.59x = 22,849.47 × 9,105.59
  4. Step 4: Simplify right side
    16,557.59x = 208,057,791.29
  5. Step 5: Solve for x
    x = 208,057,791.29/16,557.59
  6. Step 6: Final answer
    x = 12,565.71

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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.