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Finding the Fourth Proportional to 12,466.29, 17,201.68 and 7,160.08

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Solution

The fourth proportional to 12,466.29, 17,201.68 and 7,160.08 is: 9,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.29 : 17,201.68 = 7,160.08 : x
  2. Step 2: Convert to fraction form
    12,466.29/17,201.68 = 7,160.08/x
  3. Step 3: Cross multiply
    12,466.29x = 17,201.68 × 7,160.08
  4. Step 4: Simplify right side
    12,466.29x = 123,165,404.93
  5. Step 5: Solve for x
    x = 123,165,404.93/12,466.29
  6. Step 6: Final answer
    x = 9,879.88

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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.