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Finding the Fourth Proportional to 18,889.52, 28,335.87 and 5,742

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Solution

The fourth proportional to 18,889.52, 28,335.87 and 5,742 is: 8,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,889.52 : 28,335.87 = 5,742 : x
  2. Step 2: Convert to fraction form
    18,889.52/28,335.87 = 5,742/x
  3. Step 3: Cross multiply
    18,889.52x = 28,335.87 × 5,742
  4. Step 4: Simplify right side
    18,889.52x = 162,704,565.54
  5. Step 5: Solve for x
    x = 162,704,565.54/18,889.52
  6. Step 6: Final answer
    x = 8,613.49

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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.