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Finding the Fourth Proportional to 17,697.32, 24,422.39 and 10,144.10

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Solution

The fourth proportional to 17,697.32, 24,422.39 and 10,144.10 is: 13,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.32 : 24,422.39 = 10,144.10 : x
  2. Step 2: Convert to fraction form
    17,697.32/24,422.39 = 10,144.10/x
  3. Step 3: Cross multiply
    17,697.32x = 24,422.39 × 10,144.10
  4. Step 4: Simplify right side
    17,697.32x = 247,743,166.40
  5. Step 5: Solve for x
    x = 247,743,166.40/17,697.32
  6. Step 6: Final answer
    x = 13,998.91

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