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Finding the Fourth Proportional to 12,057.52, 18,084.12 and 4,160.02

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Solution

The fourth proportional to 12,057.52, 18,084.12 and 4,160.02 is: 6,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.52 : 18,084.12 = 4,160.02 : x
  2. Step 2: Convert to fraction form
    12,057.52/18,084.12 = 4,160.02/x
  3. Step 3: Cross multiply
    12,057.52x = 18,084.12 × 4,160.02
  4. Step 4: Simplify right side
    12,057.52x = 75,230,300.88
  5. Step 5: Solve for x
    x = 75,230,300.88/12,057.52
  6. Step 6: Final answer
    x = 6,239.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.