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Finding the Fourth Proportional to 12,841.29, 17,719.24 and 7,175.33

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Solution

The fourth proportional to 12,841.29, 17,719.24 and 7,175.33 is: 9,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.29 : 17,719.24 = 7,175.33 : x
  2. Step 2: Convert to fraction form
    12,841.29/17,719.24 = 7,175.33/x
  3. Step 3: Cross multiply
    12,841.29x = 17,719.24 × 7,175.33
  4. Step 4: Simplify right side
    12,841.29x = 127,141,287.81
  5. Step 5: Solve for x
    x = 127,141,287.81/12,841.29
  6. Step 6: Final answer
    x = 9,900.97

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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.