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Finding the Fourth Proportional to 24,091.10, 36,127.66 and 8,291.71

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Solution

The fourth proportional to 24,091.10, 36,127.66 and 8,291.71 is: 12,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,091.10 : 36,127.66 = 8,291.71 : x
  2. Step 2: Convert to fraction form
    24,091.10/36,127.66 = 8,291.71/x
  3. Step 3: Cross multiply
    24,091.10x = 36,127.66 × 8,291.71
  4. Step 4: Simplify right side
    24,091.10x = 299,560,079.70
  5. Step 5: Solve for x
    x = 299,560,079.70/24,091.10
  6. Step 6: Final answer
    x = 12,434.47

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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.