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Finding the Fourth Proportional to 24,569.34, 33,921.16 and 17,414.41

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Solution

The fourth proportional to 24,569.34, 33,921.16 and 17,414.41 is: 24,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,569.34 : 33,921.16 = 17,414.41 : x
  2. Step 2: Convert to fraction form
    24,569.34/33,921.16 = 17,414.41/x
  3. Step 3: Cross multiply
    24,569.34x = 33,921.16 × 17,414.41
  4. Step 4: Simplify right side
    24,569.34x = 590,716,987.92
  5. Step 5: Solve for x
    x = 590,716,987.92/24,569.34
  6. Step 6: Final answer
    x = 24,042.85

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