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Finding the Fourth Proportional to 24,376.40, 36,560.51 and 6,842.13

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Solution

The fourth proportional to 24,376.40, 36,560.51 and 6,842.13 is: 10,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.40 : 36,560.51 = 6,842.13 : x
  2. Step 2: Convert to fraction form
    24,376.40/36,560.51 = 6,842.13/x
  3. Step 3: Cross multiply
    24,376.40x = 36,560.51 × 6,842.13
  4. Step 4: Simplify right side
    24,376.40x = 250,151,579.48
  5. Step 5: Solve for x
    x = 250,151,579.48/24,376.40
  6. Step 6: Final answer
    x = 10,262.04

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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.