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Finding the Fourth Proportional to 26,686.31, 40,033.00 and 7,967.00

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Solution

The fourth proportional to 26,686.31, 40,033.00 and 7,967.00 is: 11,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,686.31 : 40,033.00 = 7,967.00 : x
  2. Step 2: Convert to fraction form
    26,686.31/40,033.00 = 7,967.00/x
  3. Step 3: Cross multiply
    26,686.31x = 40,033.00 × 7,967.00
  4. Step 4: Simplify right side
    26,686.31x = 318,943,021.04
  5. Step 5: Solve for x
    x = 318,943,021.04/26,686.31
  6. Step 6: Final answer
    x = 11,951.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.