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Finding the Fourth Proportional to 24,511.97, 36,750.95 and 13,423.88

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Solution

The fourth proportional to 24,511.97, 36,750.95 and 13,423.88 is: 20,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.97 : 36,750.95 = 13,423.88 : x
  2. Step 2: Convert to fraction form
    24,511.97/36,750.95 = 13,423.88/x
  3. Step 3: Cross multiply
    24,511.97x = 36,750.95 × 13,423.88
  4. Step 4: Simplify right side
    24,511.97x = 493,340,275.57
  5. Step 5: Solve for x
    x = 493,340,275.57/24,511.97
  6. Step 6: Final answer
    x = 20,126.50

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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.