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Finding the Fourth Proportional to 24,901.60, 37,352.32 and 7,805.79

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Solution

The fourth proportional to 24,901.60, 37,352.32 and 7,805.79 is: 11,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,901.60 : 37,352.32 = 7,805.79 : x
  2. Step 2: Convert to fraction form
    24,901.60/37,352.32 = 7,805.79/x
  3. Step 3: Cross multiply
    24,901.60x = 37,352.32 × 7,805.79
  4. Step 4: Simplify right side
    24,901.60x = 291,564,375.69
  5. Step 5: Solve for x
    x = 291,564,375.69/24,901.60
  6. Step 6: Final answer
    x = 11,708.66

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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.