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Finding the Fourth Proportional to 26,569.38, 36,686.21 and 17,629.41

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Solution

The fourth proportional to 26,569.38, 36,686.21 and 17,629.41 is: 24,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,569.38 : 36,686.21 = 17,629.41 : x
  2. Step 2: Convert to fraction form
    26,569.38/36,686.21 = 17,629.41/x
  3. Step 3: Cross multiply
    26,569.38x = 36,686.21 × 17,629.41
  4. Step 4: Simplify right side
    26,569.38x = 646,756,149.29
  5. Step 5: Solve for x
    x = 646,756,149.29/26,569.38
  6. Step 6: Final answer
    x = 24,342.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.