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Finding the Fourth Proportional to 12,471.12, 18,604.26 and 11,157.84

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Solution

The fourth proportional to 12,471.12, 18,604.26 and 11,157.84 is: 16,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.12 : 18,604.26 = 11,157.84 : x
  2. Step 2: Convert to fraction form
    12,471.12/18,604.26 = 11,157.84/x
  3. Step 3: Cross multiply
    12,471.12x = 18,604.26 × 11,157.84
  4. Step 4: Simplify right side
    12,471.12x = 207,583,356.40
  5. Step 5: Solve for x
    x = 207,583,356.40/12,471.12
  6. Step 6: Final answer
    x = 16,645.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.