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Finding the Fourth Proportional to 24,178.86, 36,253.35 and 8,380.22

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Solution

The fourth proportional to 24,178.86, 36,253.35 and 8,380.22 is: 12,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.86 : 36,253.35 = 8,380.22 : x
  2. Step 2: Convert to fraction form
    24,178.86/36,253.35 = 8,380.22/x
  3. Step 3: Cross multiply
    24,178.86x = 36,253.35 × 8,380.22
  4. Step 4: Simplify right side
    24,178.86x = 303,810,867.47
  5. Step 5: Solve for x
    x = 303,810,867.47/24,178.86
  6. Step 6: Final answer
    x = 12,565.14

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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.