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Finding the Fourth Proportional to 12,842.26, 17,720.50 and 7,176.57

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Solution

The fourth proportional to 12,842.26, 17,720.50 and 7,176.57 is: 9,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.26 : 17,720.50 = 7,176.57 : x
  2. Step 2: Convert to fraction form
    12,842.26/17,720.50 = 7,176.57/x
  3. Step 3: Cross multiply
    12,842.26x = 17,720.50 × 7,176.57
  4. Step 4: Simplify right side
    12,842.26x = 127,172,408.69
  5. Step 5: Solve for x
    x = 127,172,408.69/12,842.26
  6. Step 6: Final answer
    x = 9,902.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.