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Finding the Fourth Proportional to 25,754.56, 38,634.90 and 9,111.16

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Solution

The fourth proportional to 25,754.56, 38,634.90 and 9,111.16 is: 13,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.56 : 38,634.90 = 9,111.16 : x
  2. Step 2: Convert to fraction form
    25,754.56/38,634.90 = 9,111.16/x
  3. Step 3: Cross multiply
    25,754.56x = 38,634.90 × 9,111.16
  4. Step 4: Simplify right side
    25,754.56x = 352,008,755.48
  5. Step 5: Solve for x
    x = 352,008,755.48/25,754.56
  6. Step 6: Final answer
    x = 13,667.82

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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.