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Finding the Fourth Proportional to 25,754.78, 38,635.41 and 9,110.90

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Solution

The fourth proportional to 25,754.78, 38,635.41 and 9,110.90 is: 13,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.78 : 38,635.41 = 9,110.90 : x
  2. Step 2: Convert to fraction form
    25,754.78/38,635.41 = 9,110.90/x
  3. Step 3: Cross multiply
    25,754.78x = 38,635.41 × 9,110.90
  4. Step 4: Simplify right side
    25,754.78x = 352,003,356.97
  5. Step 5: Solve for x
    x = 352,003,356.97/25,754.78
  6. Step 6: Final answer
    x = 13,667.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.