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Finding the Fourth Proportional to 12,152.62, 16,770.66 and 6,847.48

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Solution

The fourth proportional to 12,152.62, 16,770.66 and 6,847.48 is: 9,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.62 : 16,770.66 = 6,847.48 : x
  2. Step 2: Convert to fraction form
    12,152.62/16,770.66 = 6,847.48/x
  3. Step 3: Cross multiply
    12,152.62x = 16,770.66 × 6,847.48
  4. Step 4: Simplify right side
    12,152.62x = 114,836,758.94
  5. Step 5: Solve for x
    x = 114,836,758.94/12,152.62
  6. Step 6: Final answer
    x = 9,449.55

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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.