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Finding the Fourth Proportional to 17,732.27, 24,471.63 and 9,774.48

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Solution

The fourth proportional to 17,732.27, 24,471.63 and 9,774.48 is: 13,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.27 : 24,471.63 = 9,774.48 : x
  2. Step 2: Convert to fraction form
    17,732.27/24,471.63 = 9,774.48/x
  3. Step 3: Cross multiply
    17,732.27x = 24,471.63 × 9,774.48
  4. Step 4: Simplify right side
    17,732.27x = 239,197,286.77
  5. Step 5: Solve for x
    x = 239,197,286.77/17,732.27
  6. Step 6: Final answer
    x = 13,489.38

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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.