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Finding the Fourth Proportional to 25,686.78, 38,530.05 and 8,157.96

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Solution

The fourth proportional to 25,686.78, 38,530.05 and 8,157.96 is: 12,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686.78 : 38,530.05 = 8,157.96 : x
  2. Step 2: Convert to fraction form
    25,686.78/38,530.05 = 8,157.96/x
  3. Step 3: Cross multiply
    25,686.78x = 38,530.05 × 8,157.96
  4. Step 4: Simplify right side
    25,686.78x = 314,326,606.70
  5. Step 5: Solve for x
    x = 314,326,606.70/25,686.78
  6. Step 6: Final answer
    x = 12,236.90

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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.