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Finding the Fourth Proportional to 25,836.42, 38,754.46 and 8,306.29

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Solution

The fourth proportional to 25,836.42, 38,754.46 and 8,306.29 is: 12,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,836.42 : 38,754.46 = 8,306.29 : x
  2. Step 2: Convert to fraction form
    25,836.42/38,754.46 = 8,306.29/x
  3. Step 3: Cross multiply
    25,836.42x = 38,754.46 × 8,306.29
  4. Step 4: Simplify right side
    25,836.42x = 321,905,548.25
  5. Step 5: Solve for x
    x = 321,905,548.25/25,836.42
  6. Step 6: Final answer
    x = 12,459.37

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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.