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Finding the Fourth Proportional to 12,077.43, 16,659.18 and 8,725.16

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Solution

The fourth proportional to 12,077.43, 16,659.18 and 8,725.16 is: 12,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.43 : 16,659.18 = 8,725.16 : x
  2. Step 2: Convert to fraction form
    12,077.43/16,659.18 = 8,725.16/x
  3. Step 3: Cross multiply
    12,077.43x = 16,659.18 × 8,725.16
  4. Step 4: Simplify right side
    12,077.43x = 145,354,008.99
  5. Step 5: Solve for x
    x = 145,354,008.99/12,077.43
  6. Step 6: Final answer
    x = 12,035.18

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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.