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Finding the Fourth Proportional to 15,209.56, 22,843.74 and 12,613.24

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Solution

The fourth proportional to 15,209.56, 22,843.74 and 12,613.24 is: 18,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.56 : 22,843.74 = 12,613.24 : x
  2. Step 2: Convert to fraction form
    15,209.56/22,843.74 = 12,613.24/x
  3. Step 3: Cross multiply
    15,209.56x = 22,843.74 × 12,613.24
  4. Step 4: Simplify right side
    15,209.56x = 288,133,575.12
  5. Step 5: Solve for x
    x = 288,133,575.12/15,209.56
  6. Step 6: Final answer
    x = 18,944.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.