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Finding the Fourth Proportional to 24,282.53, 36,400.41 and 12,441.89

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Solution

The fourth proportional to 24,282.53, 36,400.41 and 12,441.89 is: 18,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282.53 : 36,400.41 = 12,441.89 : x
  2. Step 2: Convert to fraction form
    24,282.53/36,400.41 = 12,441.89/x
  3. Step 3: Cross multiply
    24,282.53x = 36,400.41 × 12,441.89
  4. Step 4: Simplify right side
    24,282.53x = 452,889,715.17
  5. Step 5: Solve for x
    x = 452,889,715.17/24,282.53
  6. Step 6: Final answer
    x = 18,650.85

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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.