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Finding the Fourth Proportional to 24,146.25, 33,314.49 and 15,202.68

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Solution

The fourth proportional to 24,146.25, 33,314.49 and 15,202.68 is: 20,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.25 : 33,314.49 = 15,202.68 : x
  2. Step 2: Convert to fraction form
    24,146.25/33,314.49 = 15,202.68/x
  3. Step 3: Cross multiply
    24,146.25x = 33,314.49 × 15,202.68
  4. Step 4: Simplify right side
    24,146.25x = 506,469,530.83
  5. Step 5: Solve for x
    x = 506,469,530.83/24,146.25
  6. Step 6: Final answer
    x = 20,975.08

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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.