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Finding the Fourth Proportional to 17,822, 26,723.18 and 12,206.14

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Solution

The fourth proportional to 17,822, 26,723.18 and 12,206.14 is: 18,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822 : 26,723.18 = 12,206.14 : x
  2. Step 2: Convert to fraction form
    17,822/26,723.18 = 12,206.14/x
  3. Step 3: Cross multiply
    17,822x = 26,723.18 × 12,206.14
  4. Step 4: Simplify right side
    17,822x = 326,186,876.33
  5. Step 5: Solve for x
    x = 326,186,876.33/17,822
  6. Step 6: Final answer
    x = 18,302.48

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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.