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Finding the Fourth Proportional to 24,382.66, 36,560.31 and 7,739.59

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Solution

The fourth proportional to 24,382.66, 36,560.31 and 7,739.59 is: 11,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.66 : 36,560.31 = 7,739.59 : x
  2. Step 2: Convert to fraction form
    24,382.66/36,560.31 = 7,739.59/x
  3. Step 3: Cross multiply
    24,382.66x = 36,560.31 × 7,739.59
  4. Step 4: Simplify right side
    24,382.66x = 282,961,809.67
  5. Step 5: Solve for x
    x = 282,961,809.67/24,382.66
  6. Step 6: Final answer
    x = 11,605.04

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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.