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Finding the Fourth Proportional to 24,522.72, 36,764.58 and 10,662

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Solution

The fourth proportional to 24,522.72, 36,764.58 and 10,662 is: 15,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522.72 : 36,764.58 = 10,662 : x
  2. Step 2: Convert to fraction form
    24,522.72/36,764.58 = 10,662/x
  3. Step 3: Cross multiply
    24,522.72x = 36,764.58 × 10,662
  4. Step 4: Simplify right side
    24,522.72x = 391,983,951.96
  5. Step 5: Solve for x
    x = 391,983,951.96/24,522.72
  6. Step 6: Final answer
    x = 15,984.52

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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.