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Finding the Fourth Proportional to 12,705.90, 17,532.10 and 7,986.84

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Solution

The fourth proportional to 12,705.90, 17,532.10 and 7,986.84 is: 11,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.90 : 17,532.10 = 7,986.84 : x
  2. Step 2: Convert to fraction form
    12,705.90/17,532.10 = 7,986.84/x
  3. Step 3: Cross multiply
    12,705.90x = 17,532.10 × 7,986.84
  4. Step 4: Simplify right side
    12,705.90x = 140,025,976.88
  5. Step 5: Solve for x
    x = 140,025,976.88/12,705.90
  6. Step 6: Final answer
    x = 11,020.55

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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.