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Finding the Fourth Proportional to 12,983.85, 17,917.49 and 7,319.18

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Solution

The fourth proportional to 12,983.85, 17,917.49 and 7,319.18 is: 10,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.85 : 17,917.49 = 7,319.18 : x
  2. Step 2: Convert to fraction form
    12,983.85/17,917.49 = 7,319.18/x
  3. Step 3: Cross multiply
    12,983.85x = 17,917.49 × 7,319.18
  4. Step 4: Simplify right side
    12,983.85x = 131,141,397.55
  5. Step 5: Solve for x
    x = 131,141,397.55/12,983.85
  6. Step 6: Final answer
    x = 10,100.35

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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.