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Finding the Fourth Proportional to 17,842.68, 26,743.97 and 8,475.03

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Solution

The fourth proportional to 17,842.68, 26,743.97 and 8,475.03 is: 12,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.68 : 26,743.97 = 8,475.03 : x
  2. Step 2: Convert to fraction form
    17,842.68/26,743.97 = 8,475.03/x
  3. Step 3: Cross multiply
    17,842.68x = 26,743.97 × 8,475.03
  4. Step 4: Simplify right side
    17,842.68x = 226,655,905.69
  5. Step 5: Solve for x
    x = 226,655,905.69/17,842.68
  6. Step 6: Final answer
    x = 12,703.02

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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.