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Finding the Fourth Proportional to 25,665.32, 38,499.08 and 8,134.76

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Solution

The fourth proportional to 25,665.32, 38,499.08 and 8,134.76 is: 12,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665.32 : 38,499.08 = 8,134.76 : x
  2. Step 2: Convert to fraction form
    25,665.32/38,499.08 = 8,134.76/x
  3. Step 3: Cross multiply
    25,665.32x = 38,499.08 × 8,134.76
  4. Step 4: Simplify right side
    25,665.32x = 313,180,776.02
  5. Step 5: Solve for x
    x = 313,180,776.02/25,665.32
  6. Step 6: Final answer
    x = 12,202.49

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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.