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Finding the Fourth Proportional to 17,470.72, 24,107.34 and 9,915.76

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Solution

The fourth proportional to 17,470.72, 24,107.34 and 9,915.76 is: 13,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470.72 : 24,107.34 = 9,915.76 : x
  2. Step 2: Convert to fraction form
    17,470.72/24,107.34 = 9,915.76/x
  3. Step 3: Cross multiply
    17,470.72x = 24,107.34 × 9,915.76
  4. Step 4: Simplify right side
    17,470.72x = 239,042,597.68
  5. Step 5: Solve for x
    x = 239,042,597.68/17,470.72
  6. Step 6: Final answer
    x = 13,682.47

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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.