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Finding the Fourth Proportional to 16,488.52, 24,732.80 and 4,176.52

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Solution

The fourth proportional to 16,488.52, 24,732.80 and 4,176.52 is: 6,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488.52 : 24,732.80 = 4,176.52 : x
  2. Step 2: Convert to fraction form
    16,488.52/24,732.80 = 4,176.52/x
  3. Step 3: Cross multiply
    16,488.52x = 24,732.80 × 4,176.52
  4. Step 4: Simplify right side
    16,488.52x = 103,297,033.86
  5. Step 5: Solve for x
    x = 103,297,033.86/16,488.52
  6. Step 6: Final answer
    x = 6,264.79

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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.