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Finding the Fourth Proportional to 25,715.52, 38,572.56 and 8,186.40

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Solution

The fourth proportional to 25,715.52, 38,572.56 and 8,186.40 is: 12,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,715.52 : 38,572.56 = 8,186.40 : x
  2. Step 2: Convert to fraction form
    25,715.52/38,572.56 = 8,186.40/x
  3. Step 3: Cross multiply
    25,715.52x = 38,572.56 × 8,186.40
  4. Step 4: Simplify right side
    25,715.52x = 315,770,405.18
  5. Step 5: Solve for x
    x = 315,770,405.18/25,715.52
  6. Step 6: Final answer
    x = 12,279.37

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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.