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Finding the Fourth Proportional to 17,098.80, 25,601.84 and 8,873.52

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Solution

The fourth proportional to 17,098.80, 25,601.84 and 8,873.52 is: 13,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.80 : 25,601.84 = 8,873.52 : x
  2. Step 2: Convert to fraction form
    17,098.80/25,601.84 = 8,873.52/x
  3. Step 3: Cross multiply
    17,098.80x = 25,601.84 × 8,873.52
  4. Step 4: Simplify right side
    17,098.80x = 227,178,439.28
  5. Step 5: Solve for x
    x = 227,178,439.28/17,098.80
  6. Step 6: Final answer
    x = 13,286.22

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Why These Related Problems?

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