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Finding the Fourth Proportional to 24,463.53, 36,697.60 and 7,819.61

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Solution

The fourth proportional to 24,463.53, 36,697.60 and 7,819.61 is: 11,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,463.53 : 36,697.60 = 7,819.61 : x
  2. Step 2: Convert to fraction form
    24,463.53/36,697.60 = 7,819.61/x
  3. Step 3: Cross multiply
    24,463.53x = 36,697.60 × 7,819.61
  4. Step 4: Simplify right side
    24,463.53x = 286,960,716.90
  5. Step 5: Solve for x
    x = 286,960,716.90/24,463.53
  6. Step 6: Final answer
    x = 11,730.14

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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.