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Finding the Fourth Proportional to 24,134.90, 36,200.12 and 8,338.50

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Solution

The fourth proportional to 24,134.90, 36,200.12 and 8,338.50 is: 12,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,134.90 : 36,200.12 = 8,338.50 : x
  2. Step 2: Convert to fraction form
    24,134.90/36,200.12 = 8,338.50/x
  3. Step 3: Cross multiply
    24,134.90x = 36,200.12 × 8,338.50
  4. Step 4: Simplify right side
    24,134.90x = 301,854,700.62
  5. Step 5: Solve for x
    x = 301,854,700.62/24,134.90
  6. Step 6: Final answer
    x = 12,506.98

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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.