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Finding the Fourth Proportional to 25,670.64, 38,507.34 and 8,141.84

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Solution

The fourth proportional to 25,670.64, 38,507.34 and 8,141.84 is: 12,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670.64 : 38,507.34 = 8,141.84 : x
  2. Step 2: Convert to fraction form
    25,670.64/38,507.34 = 8,141.84/x
  3. Step 3: Cross multiply
    25,670.64x = 38,507.34 × 8,141.84
  4. Step 4: Simplify right side
    25,670.64x = 313,520,367.86
  5. Step 5: Solve for x
    x = 313,520,367.86/25,670.64
  6. Step 6: Final answer
    x = 12,213.19

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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.