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Finding the Fourth Proportional to 24,392.52, 36,591.89 and 7,746.62

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Solution

The fourth proportional to 24,392.52, 36,591.89 and 7,746.62 is: 11,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.52 : 36,591.89 = 7,746.62 : x
  2. Step 2: Convert to fraction form
    24,392.52/36,591.89 = 7,746.62/x
  3. Step 3: Cross multiply
    24,392.52x = 36,591.89 × 7,746.62
  4. Step 4: Simplify right side
    24,392.52x = 283,463,245.22
  5. Step 5: Solve for x
    x = 283,463,245.22/24,392.52
  6. Step 6: Final answer
    x = 11,620.91

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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.