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Finding the Fourth Proportional to 24,462.57, 33,756.72 and 13,560

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Solution

The fourth proportional to 24,462.57, 33,756.72 and 13,560 is: 18,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.57 : 33,756.72 = 13,560 : x
  2. Step 2: Convert to fraction form
    24,462.57/33,756.72 = 13,560/x
  3. Step 3: Cross multiply
    24,462.57x = 33,756.72 × 13,560
  4. Step 4: Simplify right side
    24,462.57x = 457,741,123.20
  5. Step 5: Solve for x
    x = 457,741,123.20/24,462.57
  6. Step 6: Final answer
    x = 18,711.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.