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Finding the Fourth Proportional to 17,743.80, 26,606.10 and 7,343.80

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Solution

The fourth proportional to 17,743.80, 26,606.10 and 7,343.80 is: 11,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.80 : 26,606.10 = 7,343.80 : x
  2. Step 2: Convert to fraction form
    17,743.80/26,606.10 = 7,343.80/x
  3. Step 3: Cross multiply
    17,743.80x = 26,606.10 × 7,343.80
  4. Step 4: Simplify right side
    17,743.80x = 195,389,877.18
  5. Step 5: Solve for x
    x = 195,389,877.18/17,743.80
  6. Step 6: Final answer
    x = 11,011.73

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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.