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Finding the Fourth Proportional to 25,561.83, 38,348.90 and 8,031.66

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Solution

The fourth proportional to 25,561.83, 38,348.90 and 8,031.66 is: 12,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,561.83 : 38,348.90 = 8,031.66 : x
  2. Step 2: Convert to fraction form
    25,561.83/38,348.90 = 8,031.66/x
  3. Step 3: Cross multiply
    25,561.83x = 38,348.90 × 8,031.66
  4. Step 4: Simplify right side
    25,561.83x = 308,005,326.17
  5. Step 5: Solve for x
    x = 308,005,326.17/25,561.83
  6. Step 6: Final answer
    x = 12,049.42

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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.