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Finding the Fourth Proportional to 24,724.90, 34,120.42 and 13,394.42

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Solution

The fourth proportional to 24,724.90, 34,120.42 and 13,394.42 is: 18,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724.90 : 34,120.42 = 13,394.42 : x
  2. Step 2: Convert to fraction form
    24,724.90/34,120.42 = 13,394.42/x
  3. Step 3: Cross multiply
    24,724.90x = 34,120.42 × 13,394.42
  4. Step 4: Simplify right side
    24,724.90x = 457,023,236.06
  5. Step 5: Solve for x
    x = 457,023,236.06/24,724.90
  6. Step 6: Final answer
    x = 18,484.33

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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.