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Finding the Fourth Proportional to 25,799.96, 38,705.41 and 8,282.09

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Solution

The fourth proportional to 25,799.96, 38,705.41 and 8,282.09 is: 12,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,799.96 : 38,705.41 = 8,282.09 : x
  2. Step 2: Convert to fraction form
    25,799.96/38,705.41 = 8,282.09/x
  3. Step 3: Cross multiply
    25,799.96x = 38,705.41 × 8,282.09
  4. Step 4: Simplify right side
    25,799.96x = 320,561,689.11
  5. Step 5: Solve for x
    x = 320,561,689.11/25,799.96
  6. Step 6: Final answer
    x = 12,424.89

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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.