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Finding the Fourth Proportional to 25,203.25, 34,781.30 and 13,872.16

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Solution

The fourth proportional to 25,203.25, 34,781.30 and 13,872.16 is: 19,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203.25 : 34,781.30 = 13,872.16 : x
  2. Step 2: Convert to fraction form
    25,203.25/34,781.30 = 13,872.16/x
  3. Step 3: Cross multiply
    25,203.25x = 34,781.30 × 13,872.16
  4. Step 4: Simplify right side
    25,203.25x = 482,491,758.61
  5. Step 5: Solve for x
    x = 482,491,758.61/25,203.25
  6. Step 6: Final answer
    x = 19,144.03

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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.