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Finding the Fourth Proportional to 24,710.78, 34,100.81 and 13,380.29

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Solution

The fourth proportional to 24,710.78, 34,100.81 and 13,380.29 is: 18,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710.78 : 34,100.81 = 13,380.29 : x
  2. Step 2: Convert to fraction form
    24,710.78/34,100.81 = 13,380.29/x
  3. Step 3: Cross multiply
    24,710.78x = 34,100.81 × 13,380.29
  4. Step 4: Simplify right side
    24,710.78x = 456,278,589.98
  5. Step 5: Solve for x
    x = 456,278,589.98/24,710.78
  6. Step 6: Final answer
    x = 18,464.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.