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Finding the Fourth Proportional to 12,984.77, 17,918.96 and 7,016.42

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Solution

The fourth proportional to 12,984.77, 17,918.96 and 7,016.42 is: 9,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.77 : 17,918.96 = 7,016.42 : x
  2. Step 2: Convert to fraction form
    12,984.77/17,918.96 = 7,016.42/x
  3. Step 3: Cross multiply
    12,984.77x = 17,918.96 × 7,016.42
  4. Step 4: Simplify right side
    12,984.77x = 125,726,959.04
  5. Step 5: Solve for x
    x = 125,726,959.04/12,984.77
  6. Step 6: Final answer
    x = 9,682.65

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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.