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Finding the Fourth Proportional to 25,494.90, 38,242.38 and 7,964.82

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Solution

The fourth proportional to 25,494.90, 38,242.38 and 7,964.82 is: 11,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.90 : 38,242.38 = 7,964.82 : x
  2. Step 2: Convert to fraction form
    25,494.90/38,242.38 = 7,964.82/x
  3. Step 3: Cross multiply
    25,494.90x = 38,242.38 × 7,964.82
  4. Step 4: Simplify right side
    25,494.90x = 304,593,673.07
  5. Step 5: Solve for x
    x = 304,593,673.07/25,494.90
  6. Step 6: Final answer
    x = 11,947.24

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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.