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Finding the Fourth Proportional to 15,747.90, 23,627.46 and 7,849.68

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Solution

The fourth proportional to 15,747.90, 23,627.46 and 7,849.68 is: 11,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747.90 : 23,627.46 = 7,849.68 : x
  2. Step 2: Convert to fraction form
    15,747.90/23,627.46 = 7,849.68/x
  3. Step 3: Cross multiply
    15,747.90x = 23,627.46 × 7,849.68
  4. Step 4: Simplify right side
    15,747.90x = 185,468,000.21
  5. Step 5: Solve for x
    x = 185,468,000.21/15,747.90
  6. Step 6: Final answer
    x = 11,777.32

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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.