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Finding the Fourth Proportional to 12,914.16, 17,705.49 and 12,680.88

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Solution

The fourth proportional to 12,914.16, 17,705.49 and 12,680.88 is: 17,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.16 : 17,705.49 = 12,680.88 : x
  2. Step 2: Convert to fraction form
    12,914.16/17,705.49 = 12,680.88/x
  3. Step 3: Cross multiply
    12,914.16x = 17,705.49 × 12,680.88
  4. Step 4: Simplify right side
    12,914.16x = 224,521,194.03
  5. Step 5: Solve for x
    x = 224,521,194.03/12,914.16
  6. Step 6: Final answer
    x = 17,385.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.