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Finding the Fourth Proportional to 17,747.69, 24,490.70 and 9,789.90

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Solution

The fourth proportional to 17,747.69, 24,490.70 and 9,789.90 is: 13,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.69 : 24,490.70 = 9,789.90 : x
  2. Step 2: Convert to fraction form
    17,747.69/24,490.70 = 9,789.90/x
  3. Step 3: Cross multiply
    17,747.69x = 24,490.70 × 9,789.90
  4. Step 4: Simplify right side
    17,747.69x = 239,761,503.93
  5. Step 5: Solve for x
    x = 239,761,503.93/17,747.69
  6. Step 6: Final answer
    x = 13,509.45

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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.