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Finding the Fourth Proportional to 25,738.48, 38,610.42 and 8,209

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Solution

The fourth proportional to 25,738.48, 38,610.42 and 8,209 is: 12,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,738.48 : 38,610.42 = 8,209 : x
  2. Step 2: Convert to fraction form
    25,738.48/38,610.42 = 8,209/x
  3. Step 3: Cross multiply
    25,738.48x = 38,610.42 × 8,209
  4. Step 4: Simplify right side
    25,738.48x = 316,952,937.78
  5. Step 5: Solve for x
    x = 316,952,937.78/25,738.48
  6. Step 6: Final answer
    x = 12,314.36

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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.