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Finding the Fourth Proportional to 24,267.44, 36,381.68 and 15,014

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Solution

The fourth proportional to 24,267.44, 36,381.68 and 15,014 is: 22,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267.44 : 36,381.68 = 15,014 : x
  2. Step 2: Convert to fraction form
    24,267.44/36,381.68 = 15,014/x
  3. Step 3: Cross multiply
    24,267.44x = 36,381.68 × 15,014
  4. Step 4: Simplify right side
    24,267.44x = 546,234,543.52
  5. Step 5: Solve for x
    x = 546,234,543.52/24,267.44
  6. Step 6: Final answer
    x = 22,508.95

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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.