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Finding the Fourth Proportional to 25,494.24, 38,246.76 and 7,965.39

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Solution

The fourth proportional to 25,494.24, 38,246.76 and 7,965.39 is: 11,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.24 : 38,246.76 = 7,965.39 : x
  2. Step 2: Convert to fraction form
    25,494.24/38,246.76 = 7,965.39/x
  3. Step 3: Cross multiply
    25,494.24x = 38,246.76 × 7,965.39
  4. Step 4: Simplify right side
    25,494.24x = 304,650,359.64
  5. Step 5: Solve for x
    x = 304,650,359.64/25,494.24
  6. Step 6: Final answer
    x = 11,949.77

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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.