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Finding the Fourth Proportional to 17,732.66, 24,470.57 and 9,774.88

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Solution

The fourth proportional to 17,732.66, 24,470.57 and 9,774.88 is: 13,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.66 : 24,470.57 = 9,774.88 : x
  2. Step 2: Convert to fraction form
    17,732.66/24,470.57 = 9,774.88/x
  3. Step 3: Cross multiply
    17,732.66x = 24,470.57 × 9,774.88
  4. Step 4: Simplify right side
    17,732.66x = 239,196,848.54
  5. Step 5: Solve for x
    x = 239,196,848.54/17,732.66
  6. Step 6: Final answer
    x = 13,489.06

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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.