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Finding the Fourth Proportional to 24,382.24, 36,582 and 7,744.96

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Solution

The fourth proportional to 24,382.24, 36,582 and 7,744.96 is: 11,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.24 : 36,582 = 7,744.96 : x
  2. Step 2: Convert to fraction form
    24,382.24/36,582 = 7,744.96/x
  3. Step 3: Cross multiply
    24,382.24x = 36,582 × 7,744.96
  4. Step 4: Simplify right side
    24,382.24x = 283,326,126.72
  5. Step 5: Solve for x
    x = 283,326,126.72/24,382.24
  6. Step 6: Final answer
    x = 11,620.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.