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Finding the Fourth Proportional to 15,842.39, 23,747.18 and 6,478.38

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Solution

The fourth proportional to 15,842.39, 23,747.18 and 6,478.38 is: 9,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.39 : 23,747.18 = 6,478.38 : x
  2. Step 2: Convert to fraction form
    15,842.39/23,747.18 = 6,478.38/x
  3. Step 3: Cross multiply
    15,842.39x = 23,747.18 × 6,478.38
  4. Step 4: Simplify right side
    15,842.39x = 153,843,223.58
  5. Step 5: Solve for x
    x = 153,843,223.58/15,842.39
  6. Step 6: Final answer
    x = 9,710.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.