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Finding the Fourth Proportional to 24,542.84, 33,868.37 and 13,640.94

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Solution

The fourth proportional to 24,542.84, 33,868.37 and 13,640.94 is: 18,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542.84 : 33,868.37 = 13,640.94 : x
  2. Step 2: Convert to fraction form
    24,542.84/33,868.37 = 13,640.94/x
  3. Step 3: Cross multiply
    24,542.84x = 33,868.37 × 13,640.94
  4. Step 4: Simplify right side
    24,542.84x = 461,996,403.07
  5. Step 5: Solve for x
    x = 461,996,403.07/24,542.84
  6. Step 6: Final answer
    x = 18,824.08

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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.