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Finding the Fourth Proportional to 18,732.50, 28,102.78 and 5,585.92

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Solution

The fourth proportional to 18,732.50, 28,102.78 and 5,585.92 is: 8,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,732.50 : 28,102.78 = 5,585.92 : x
  2. Step 2: Convert to fraction form
    18,732.50/28,102.78 = 5,585.92/x
  3. Step 3: Cross multiply
    18,732.50x = 28,102.78 × 5,585.92
  4. Step 4: Simplify right side
    18,732.50x = 156,979,880.86
  5. Step 5: Solve for x
    x = 156,979,880.86/18,732.50
  6. Step 6: Final answer
    x = 8,380.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.