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Finding the Fourth Proportional to 17,721.71, 24,455.97 and 9,764.11

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Solution

The fourth proportional to 17,721.71, 24,455.97 and 9,764.11 is: 13,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,721.71 : 24,455.97 = 9,764.11 : x
  2. Step 2: Convert to fraction form
    17,721.71/24,455.97 = 9,764.11/x
  3. Step 3: Cross multiply
    17,721.71x = 24,455.97 × 9,764.11
  4. Step 4: Simplify right side
    17,721.71x = 238,790,720.10
  5. Step 5: Solve for x
    x = 238,790,720.10/17,721.71
  6. Step 6: Final answer
    x = 13,474.47

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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.