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Finding the Fourth Proportional to 17,732.82, 24,470.99 and 9,775.79

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Solution

The fourth proportional to 17,732.82, 24,470.99 and 9,775.79 is: 13,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.82 : 24,470.99 = 9,775.79 : x
  2. Step 2: Convert to fraction form
    17,732.82/24,470.99 = 9,775.79/x
  3. Step 3: Cross multiply
    17,732.82x = 24,470.99 × 9,775.79
  4. Step 4: Simplify right side
    17,732.82x = 239,223,259.33
  5. Step 5: Solve for x
    x = 239,223,259.33/17,732.82
  6. Step 6: Final answer
    x = 13,490.42

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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.