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Finding the Fourth Proportional to 12,717.82, 17,551.62 and 7,053.13

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Solution

The fourth proportional to 12,717.82, 17,551.62 and 7,053.13 is: 9,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.82 : 17,551.62 = 7,053.13 : x
  2. Step 2: Convert to fraction form
    12,717.82/17,551.62 = 7,053.13/x
  3. Step 3: Cross multiply
    12,717.82x = 17,551.62 × 7,053.13
  4. Step 4: Simplify right side
    12,717.82x = 123,793,857.57
  5. Step 5: Solve for x
    x = 123,793,857.57/12,717.82
  6. Step 6: Final answer
    x = 9,733.89

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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.