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Finding the Fourth Proportional to 25,540.95, 38,311.47 and 8,012.16

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Solution

The fourth proportional to 25,540.95, 38,311.47 and 8,012.16 is: 12,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,540.95 : 38,311.47 = 8,012.16 : x
  2. Step 2: Convert to fraction form
    25,540.95/38,311.47 = 8,012.16/x
  3. Step 3: Cross multiply
    25,540.95x = 38,311.47 × 8,012.16
  4. Step 4: Simplify right side
    25,540.95x = 306,957,627.48
  5. Step 5: Solve for x
    x = 306,957,627.48/25,540.95
  6. Step 6: Final answer
    x = 12,018.25

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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.