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Finding the Fourth Proportional to 17,696.48, 24,422.15 and 10,144.06

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Solution

The fourth proportional to 17,696.48, 24,422.15 and 10,144.06 is: 13,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.48 : 24,422.15 = 10,144.06 : x
  2. Step 2: Convert to fraction form
    17,696.48/24,422.15 = 10,144.06/x
  3. Step 3: Cross multiply
    17,696.48x = 24,422.15 × 10,144.06
  4. Step 4: Simplify right side
    17,696.48x = 247,739,799.55
  5. Step 5: Solve for x
    x = 247,739,799.55/17,696.48
  6. Step 6: Final answer
    x = 13,999.38

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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.