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Finding the Fourth Proportional to 24,133.42, 33,304.78 and 13,522.82

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Solution

The fourth proportional to 24,133.42, 33,304.78 and 13,522.82 is: 18,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,133.42 : 33,304.78 = 13,522.82 : x
  2. Step 2: Convert to fraction form
    24,133.42/33,304.78 = 13,522.82/x
  3. Step 3: Cross multiply
    24,133.42x = 33,304.78 × 13,522.82
  4. Step 4: Simplify right side
    24,133.42x = 450,374,545.08
  5. Step 5: Solve for x
    x = 450,374,545.08/24,133.42
  6. Step 6: Final answer
    x = 18,661.86

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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.