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Finding the Fourth Proportional to 25,107.70, 34,648.66 and 13,778.16

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Solution

The fourth proportional to 25,107.70, 34,648.66 and 13,778.16 is: 19,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.70 : 34,648.66 = 13,778.16 : x
  2. Step 2: Convert to fraction form
    25,107.70/34,648.66 = 13,778.16/x
  3. Step 3: Cross multiply
    25,107.70x = 34,648.66 × 13,778.16
  4. Step 4: Simplify right side
    25,107.70x = 477,394,781.27
  5. Step 5: Solve for x
    x = 477,394,781.27/25,107.70
  6. Step 6: Final answer
    x = 19,013.88

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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.