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Finding the Fourth Proportional to 26,454.24, 39,681.12 and 7,986.24

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Solution

The fourth proportional to 26,454.24, 39,681.12 and 7,986.24 is: 11,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,454.24 : 39,681.12 = 7,986.24 : x
  2. Step 2: Convert to fraction form
    26,454.24/39,681.12 = 7,986.24/x
  3. Step 3: Cross multiply
    26,454.24x = 39,681.12 × 7,986.24
  4. Step 4: Simplify right side
    26,454.24x = 316,902,947.79
  5. Step 5: Solve for x
    x = 316,902,947.79/26,454.24
  6. Step 6: Final answer
    x = 11,979.29

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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.