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Finding the Fourth Proportional to 25,494.28, 38,241.66 and 7,964.20

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Solution

The fourth proportional to 25,494.28, 38,241.66 and 7,964.20 is: 11,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.28 : 38,241.66 = 7,964.20 : x
  2. Step 2: Convert to fraction form
    25,494.28/38,241.66 = 7,964.20/x
  3. Step 3: Cross multiply
    25,494.28x = 38,241.66 × 7,964.20
  4. Step 4: Simplify right side
    25,494.28x = 304,564,228.57
  5. Step 5: Solve for x
    x = 304,564,228.57/25,494.28
  6. Step 6: Final answer
    x = 11,946.37

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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.