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Finding the Fourth Proportional to 25,780.86, 38,672.79 and 8,013.24

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Solution

The fourth proportional to 25,780.86, 38,672.79 and 8,013.24 is: 12,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780.86 : 38,672.79 = 8,013.24 : x
  2. Step 2: Convert to fraction form
    25,780.86/38,672.79 = 8,013.24/x
  3. Step 3: Cross multiply
    25,780.86x = 38,672.79 × 8,013.24
  4. Step 4: Simplify right side
    25,780.86x = 309,894,347.74
  5. Step 5: Solve for x
    x = 309,894,347.74/25,780.86
  6. Step 6: Final answer
    x = 12,020.33

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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.