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Finding the Fourth Proportional to 24,049.80, 36,078.10 and 7,411.18

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Solution

The fourth proportional to 24,049.80, 36,078.10 and 7,411.18 is: 11,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.80 : 36,078.10 = 7,411.18 : x
  2. Step 2: Convert to fraction form
    24,049.80/36,078.10 = 7,411.18/x
  3. Step 3: Cross multiply
    24,049.80x = 36,078.10 × 7,411.18
  4. Step 4: Simplify right side
    24,049.80x = 267,381,293.16
  5. Step 5: Solve for x
    x = 267,381,293.16/24,049.80
  6. Step 6: Final answer
    x = 11,117.82

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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.