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Finding the Fourth Proportional to 25,494.43, 38,241.66 and 7,965.76

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Solution

The fourth proportional to 25,494.43, 38,241.66 and 7,965.76 is: 11,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.43 : 38,241.66 = 7,965.76 : x
  2. Step 2: Convert to fraction form
    25,494.43/38,241.66 = 7,965.76/x
  3. Step 3: Cross multiply
    25,494.43x = 38,241.66 × 7,965.76
  4. Step 4: Simplify right side
    25,494.43x = 304,623,885.56
  5. Step 5: Solve for x
    x = 304,623,885.56/25,494.43
  6. Step 6: Final answer
    x = 11,948.64

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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.