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Finding the Fourth Proportional to 17,858.20, 24,645.13 and 10,202.15

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Solution

The fourth proportional to 17,858.20, 24,645.13 and 10,202.15 is: 14,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.20 : 24,645.13 = 10,202.15 : x
  2. Step 2: Convert to fraction form
    17,858.20/24,645.13 = 10,202.15/x
  3. Step 3: Cross multiply
    17,858.20x = 24,645.13 × 10,202.15
  4. Step 4: Simplify right side
    17,858.20x = 251,433,138.79
  5. Step 5: Solve for x
    x = 251,433,138.79/17,858.20
  6. Step 6: Final answer
    x = 14,079.42

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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.