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Finding the Fourth Proportional to 17,827.56, 26,723.70 and 8,451

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Solution

The fourth proportional to 17,827.56, 26,723.70 and 8,451 is: 12,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.56 : 26,723.70 = 8,451 : x
  2. Step 2: Convert to fraction form
    17,827.56/26,723.70 = 8,451/x
  3. Step 3: Cross multiply
    17,827.56x = 26,723.70 × 8,451
  4. Step 4: Simplify right side
    17,827.56x = 225,841,988.70
  5. Step 5: Solve for x
    x = 225,841,988.70/17,827.56
  6. Step 6: Final answer
    x = 12,668.14

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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.