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Finding the Fourth Proportional to 24,072.86, 36,115.20 and 8,278.13

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Solution

The fourth proportional to 24,072.86, 36,115.20 and 8,278.13 is: 12,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,072.86 : 36,115.20 = 8,278.13 : x
  2. Step 2: Convert to fraction form
    24,072.86/36,115.20 = 8,278.13/x
  3. Step 3: Cross multiply
    24,072.86x = 36,115.20 × 8,278.13
  4. Step 4: Simplify right side
    24,072.86x = 298,966,320.58
  5. Step 5: Solve for x
    x = 298,966,320.58/24,072.86
  6. Step 6: Final answer
    x = 12,419.23

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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.