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Finding the Fourth Proportional to 12,842.29, 17,720.62 and 7,176.33

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Solution

The fourth proportional to 12,842.29, 17,720.62 and 7,176.33 is: 9,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.29 : 17,720.62 = 7,176.33 : x
  2. Step 2: Convert to fraction form
    12,842.29/17,720.62 = 7,176.33/x
  3. Step 3: Cross multiply
    12,842.29x = 17,720.62 × 7,176.33
  4. Step 4: Simplify right side
    12,842.29x = 127,169,016.92
  5. Step 5: Solve for x
    x = 127,169,016.92/12,842.29
  6. Step 6: Final answer
    x = 9,902.36

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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.