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Finding the Fourth Proportional to 24,509.74, 36,761.13 and 7,867.62

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Solution

The fourth proportional to 24,509.74, 36,761.13 and 7,867.62 is: 11,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.74 : 36,761.13 = 7,867.62 : x
  2. Step 2: Convert to fraction form
    24,509.74/36,761.13 = 7,867.62/x
  3. Step 3: Cross multiply
    24,509.74x = 36,761.13 × 7,867.62
  4. Step 4: Simplify right side
    24,509.74x = 289,222,601.61
  5. Step 5: Solve for x
    x = 289,222,601.61/24,509.74
  6. Step 6: Final answer
    x = 11,800.31

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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.