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Finding the Fourth Proportional to 12,180.16, 16,808.88 and 6,874.66

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Solution

The fourth proportional to 12,180.16, 16,808.88 and 6,874.66 is: 9,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.16 : 16,808.88 = 6,874.66 : x
  2. Step 2: Convert to fraction form
    12,180.16/16,808.88 = 6,874.66/x
  3. Step 3: Cross multiply
    12,180.16x = 16,808.88 × 6,874.66
  4. Step 4: Simplify right side
    12,180.16x = 115,555,334.98
  5. Step 5: Solve for x
    x = 115,555,334.98/12,180.16
  6. Step 6: Final answer
    x = 9,487.18

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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.