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Finding the Fourth Proportional to 18,040.20, 24,872.70 and 11,656

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Solution

The fourth proportional to 18,040.20, 24,872.70 and 11,656 is: 16,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,040.20 : 24,872.70 = 11,656 : x
  2. Step 2: Convert to fraction form
    18,040.20/24,872.70 = 11,656/x
  3. Step 3: Cross multiply
    18,040.20x = 24,872.70 × 11,656
  4. Step 4: Simplify right side
    18,040.20x = 289,916,191.20
  5. Step 5: Solve for x
    x = 289,916,191.20/18,040.20
  6. Step 6: Final answer
    x = 16,070.56

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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.