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Finding the Fourth Proportional to 23,142.68, 34,708.54 and 9,987.87

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Solution

The fourth proportional to 23,142.68, 34,708.54 and 9,987.87 is: 14,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.68 : 34,708.54 = 9,987.87 : x
  2. Step 2: Convert to fraction form
    23,142.68/34,708.54 = 9,987.87/x
  3. Step 3: Cross multiply
    23,142.68x = 34,708.54 × 9,987.87
  4. Step 4: Simplify right side
    23,142.68x = 346,664,385.41
  5. Step 5: Solve for x
    x = 346,664,385.41/23,142.68
  6. Step 6: Final answer
    x = 14,979.44

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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.