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Finding the Fourth Proportional to 24,178.88, 36,266.61 and 8,380.08

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Solution

The fourth proportional to 24,178.88, 36,266.61 and 8,380.08 is: 12,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.88 : 36,266.61 = 8,380.08 : x
  2. Step 2: Convert to fraction form
    24,178.88/36,266.61 = 8,380.08/x
  3. Step 3: Cross multiply
    24,178.88x = 36,266.61 × 8,380.08
  4. Step 4: Simplify right side
    24,178.88x = 303,917,202.98
  5. Step 5: Solve for x
    x = 303,917,202.98/24,178.88
  6. Step 6: Final answer
    x = 12,569.53

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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.