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Finding the Fourth Proportional to 25,666.53, 38,501.15 and 8,137.73

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Solution

The fourth proportional to 25,666.53, 38,501.15 and 8,137.73 is: 12,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.53 : 38,501.15 = 8,137.73 : x
  2. Step 2: Convert to fraction form
    25,666.53/38,501.15 = 8,137.73/x
  3. Step 3: Cross multiply
    25,666.53x = 38,501.15 × 8,137.73
  4. Step 4: Simplify right side
    25,666.53x = 313,311,730.20
  5. Step 5: Solve for x
    x = 313,311,730.20/25,666.53
  6. Step 6: Final answer
    x = 12,207.02

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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.