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Finding the Fourth Proportional to 25,832.68, 38,753.30 and 9,189.21

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Solution

The fourth proportional to 25,832.68, 38,753.30 and 9,189.21 is: 13,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.68 : 38,753.30 = 9,189.21 : x
  2. Step 2: Convert to fraction form
    25,832.68/38,753.30 = 9,189.21/x
  3. Step 3: Cross multiply
    25,832.68x = 38,753.30 × 9,189.21
  4. Step 4: Simplify right side
    25,832.68x = 356,112,211.89
  5. Step 5: Solve for x
    x = 356,112,211.89/25,832.68
  6. Step 6: Final answer
    x = 13,785.34

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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.