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Finding the Fourth Proportional to 15,403.68, 23,105.52 and 5,542.74

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Solution

The fourth proportional to 15,403.68, 23,105.52 and 5,542.74 is: 8,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,403.68 : 23,105.52 = 5,542.74 : x
  2. Step 2: Convert to fraction form
    15,403.68/23,105.52 = 5,542.74/x
  3. Step 3: Cross multiply
    15,403.68x = 23,105.52 × 5,542.74
  4. Step 4: Simplify right side
    15,403.68x = 128,067,889.92
  5. Step 5: Solve for x
    x = 128,067,889.92/15,403.68
  6. Step 6: Final answer
    x = 8,314.11

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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.