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Finding the Fourth Proportional to 25,102.55, 37,627.55 and 8,456.83

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Solution

The fourth proportional to 25,102.55, 37,627.55 and 8,456.83 is: 12,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.55 : 37,627.55 = 8,456.83 : x
  2. Step 2: Convert to fraction form
    25,102.55/37,627.55 = 8,456.83/x
  3. Step 3: Cross multiply
    25,102.55x = 37,627.55 × 8,456.83
  4. Step 4: Simplify right side
    25,102.55x = 318,209,824.59
  5. Step 5: Solve for x
    x = 318,209,824.59/25,102.55
  6. Step 6: Final answer
    x = 12,676.39

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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.