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Finding the Fourth Proportional to 12,983.34, 17,917 and 7,015

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Solution

The fourth proportional to 12,983.34, 17,917 and 7,015 is: 9,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.34 : 17,917 = 7,015 : x
  2. Step 2: Convert to fraction form
    12,983.34/17,917 = 7,015/x
  3. Step 3: Cross multiply
    12,983.34x = 17,917 × 7,015
  4. Step 4: Simplify right side
    12,983.34x = 125,687,755
  5. Step 5: Solve for x
    x = 125,687,755/12,983.34
  6. Step 6: Final answer
    x = 9,680.70

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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.