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Finding the Fourth Proportional to 17,616.20, 24,311.48 and 11,637.38

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Solution

The fourth proportional to 17,616.20, 24,311.48 and 11,637.38 is: 16,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.20 : 24,311.48 = 11,637.38 : x
  2. Step 2: Convert to fraction form
    17,616.20/24,311.48 = 11,637.38/x
  3. Step 3: Cross multiply
    17,616.20x = 24,311.48 × 11,637.38
  4. Step 4: Simplify right side
    17,616.20x = 282,921,933.71
  5. Step 5: Solve for x
    x = 282,921,933.71/17,616.20
  6. Step 6: Final answer
    x = 16,060.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.