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Finding the Fourth Proportional to 26,862.65, 40,293.93 and 7,141.22

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Solution

The fourth proportional to 26,862.65, 40,293.93 and 7,141.22 is: 10,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,862.65 : 40,293.93 = 7,141.22 : x
  2. Step 2: Convert to fraction form
    26,862.65/40,293.93 = 7,141.22/x
  3. Step 3: Cross multiply
    26,862.65x = 40,293.93 × 7,141.22
  4. Step 4: Simplify right side
    26,862.65x = 287,747,617.32
  5. Step 5: Solve for x
    x = 287,747,617.32/26,862.65
  6. Step 6: Final answer
    x = 10,711.81

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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.