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Finding the Fourth Proportional to 15,205.25, 20,979.51 and 9,236.57

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Solution

The fourth proportional to 15,205.25, 20,979.51 and 9,236.57 is: 12,744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.25 : 20,979.51 = 9,236.57 : x
  2. Step 2: Convert to fraction form
    15,205.25/20,979.51 = 9,236.57/x
  3. Step 3: Cross multiply
    15,205.25x = 20,979.51 × 9,236.57
  4. Step 4: Simplify right side
    15,205.25x = 193,778,573.15
  5. Step 5: Solve for x
    x = 193,778,573.15/15,205.25
  6. Step 6: Final answer
    x = 12,744.19

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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.