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Finding the Fourth Proportional to 24,452.60, 33,744.60 and 13,842.02

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Solution

The fourth proportional to 24,452.60, 33,744.60 and 13,842.02 is: 19,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.60 : 33,744.60 = 13,842.02 : x
  2. Step 2: Convert to fraction form
    24,452.60/33,744.60 = 13,842.02/x
  3. Step 3: Cross multiply
    24,452.60x = 33,744.60 × 13,842.02
  4. Step 4: Simplify right side
    24,452.60x = 467,093,428.09
  5. Step 5: Solve for x
    x = 467,093,428.09/24,452.60
  6. Step 6: Final answer
    x = 19,101.99

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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.