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Finding the Fourth Proportional to 26,681.68, 40,022.38 and 6,959.80

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Solution

The fourth proportional to 26,681.68, 40,022.38 and 6,959.80 is: 10,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,681.68 : 40,022.38 = 6,959.80 : x
  2. Step 2: Convert to fraction form
    26,681.68/40,022.38 = 6,959.80/x
  3. Step 3: Cross multiply
    26,681.68x = 40,022.38 × 6,959.80
  4. Step 4: Simplify right side
    26,681.68x = 278,547,760.32
  5. Step 5: Solve for x
    x = 278,547,760.32/26,681.68
  6. Step 6: Final answer
    x = 10,439.66

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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.