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Finding the Fourth Proportional to 24,591.66, 33,938.07 and 13,982.46

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Solution

The fourth proportional to 24,591.66, 33,938.07 and 13,982.46 is: 19,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,591.66 : 33,938.07 = 13,982.46 : x
  2. Step 2: Convert to fraction form
    24,591.66/33,938.07 = 13,982.46/x
  3. Step 3: Cross multiply
    24,591.66x = 33,938.07 × 13,982.46
  4. Step 4: Simplify right side
    24,591.66x = 474,537,706.25
  5. Step 5: Solve for x
    x = 474,537,706.25/24,591.66
  6. Step 6: Final answer
    x = 19,296.69

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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.