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Finding the Fourth Proportional to 25,832.42, 38,748.63 and 8,314.55

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Solution

The fourth proportional to 25,832.42, 38,748.63 and 8,314.55 is: 12,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.42 : 38,748.63 = 8,314.55 : x
  2. Step 2: Convert to fraction form
    25,832.42/38,748.63 = 8,314.55/x
  3. Step 3: Cross multiply
    25,832.42x = 38,748.63 × 8,314.55
  4. Step 4: Simplify right side
    25,832.42x = 322,177,227.82
  5. Step 5: Solve for x
    x = 322,177,227.82/25,832.42
  6. Step 6: Final answer
    x = 12,471.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.