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Finding the Fourth Proportional to 26,689.31, 40,033.98 and 6,967.83

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Solution

The fourth proportional to 26,689.31, 40,033.98 and 6,967.83 is: 10,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,689.31 : 40,033.98 = 6,967.83 : x
  2. Step 2: Convert to fraction form
    26,689.31/40,033.98 = 6,967.83/x
  3. Step 3: Cross multiply
    26,689.31x = 40,033.98 × 6,967.83
  4. Step 4: Simplify right side
    26,689.31x = 278,949,966.86
  5. Step 5: Solve for x
    x = 278,949,966.86/26,689.31
  6. Step 6: Final answer
    x = 10,451.75

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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.