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Finding the Fourth Proportional to 17,718.19, 24,451.11 and 9,760.39

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Solution

The fourth proportional to 17,718.19, 24,451.11 and 9,760.39 is: 13,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718.19 : 24,451.11 = 9,760.39 : x
  2. Step 2: Convert to fraction form
    17,718.19/24,451.11 = 9,760.39/x
  3. Step 3: Cross multiply
    17,718.19x = 24,451.11 × 9,760.39
  4. Step 4: Simplify right side
    17,718.19x = 238,652,308.41
  5. Step 5: Solve for x
    x = 238,652,308.41/17,718.19
  6. Step 6: Final answer
    x = 13,469.34

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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.