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Finding the Fourth Proportional to 26,432.75, 39,649.13 and 7,964.75

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Solution

The fourth proportional to 26,432.75, 39,649.13 and 7,964.75 is: 11,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,432.75 : 39,649.13 = 7,964.75 : x
  2. Step 2: Convert to fraction form
    26,432.75/39,649.13 = 7,964.75/x
  3. Step 3: Cross multiply
    26,432.75x = 39,649.13 × 7,964.75
  4. Step 4: Simplify right side
    26,432.75x = 315,795,368.34
  5. Step 5: Solve for x
    x = 315,795,368.34/26,432.75
  6. Step 6: Final answer
    x = 11,947.13

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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.