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Finding the Fourth Proportional to 25,092.72, 34,625.88 and 13,762

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Solution

The fourth proportional to 25,092.72, 34,625.88 and 13,762 is: 18,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092.72 : 34,625.88 = 13,762 : x
  2. Step 2: Convert to fraction form
    25,092.72/34,625.88 = 13,762/x
  3. Step 3: Cross multiply
    25,092.72x = 34,625.88 × 13,762
  4. Step 4: Simplify right side
    25,092.72x = 476,521,360.56
  5. Step 5: Solve for x
    x = 476,521,360.56/25,092.72
  6. Step 6: Final answer
    x = 18,990.42

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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.