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Finding the Fourth Proportional to 29,138.76, 43,707.87 and 9,416.88

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Solution

The fourth proportional to 29,138.76, 43,707.87 and 9,416.88 is: 14,125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.76 : 43,707.87 = 9,416.88 : x
  2. Step 2: Convert to fraction form
    29,138.76/43,707.87 = 9,416.88/x
  3. Step 3: Cross multiply
    29,138.76x = 43,707.87 × 9,416.88
  4. Step 4: Simplify right side
    29,138.76x = 411,591,766.85
  5. Step 5: Solve for x
    x = 411,591,766.85/29,138.76
  6. Step 6: Final answer
    x = 14,125.23

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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.