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Finding the Fourth Proportional to 17,087.80, 25,631.76 and 8,315.20

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Solution

The fourth proportional to 17,087.80, 25,631.76 and 8,315.20 is: 12,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,087.80 : 25,631.76 = 8,315.20 : x
  2. Step 2: Convert to fraction form
    17,087.80/25,631.76 = 8,315.20/x
  3. Step 3: Cross multiply
    17,087.80x = 25,631.76 × 8,315.20
  4. Step 4: Simplify right side
    17,087.80x = 213,133,210.75
  5. Step 5: Solve for x
    x = 213,133,210.75/17,087.80
  6. Step 6: Final answer
    x = 12,472.83

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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.