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Finding the Fourth Proportional to 16,531.52, 24,800.02 and 8,211.82

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Solution

The fourth proportional to 16,531.52, 24,800.02 and 8,211.82 is: 12,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.52 : 24,800.02 = 8,211.82 : x
  2. Step 2: Convert to fraction form
    16,531.52/24,800.02 = 8,211.82/x
  3. Step 3: Cross multiply
    16,531.52x = 24,800.02 × 8,211.82
  4. Step 4: Simplify right side
    16,531.52x = 203,653,300.24
  5. Step 5: Solve for x
    x = 203,653,300.24/16,531.52
  6. Step 6: Final answer
    x = 12,319.09

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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.