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Finding the Fourth Proportional to 17,419.97, 24,031.85 and 10,342.29

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Solution

The fourth proportional to 17,419.97, 24,031.85 and 10,342.29 is: 14,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419.97 : 24,031.85 = 10,342.29 : x
  2. Step 2: Convert to fraction form
    17,419.97/24,031.85 = 10,342.29/x
  3. Step 3: Cross multiply
    17,419.97x = 24,031.85 × 10,342.29
  4. Step 4: Simplify right side
    17,419.97x = 248,544,310.23
  5. Step 5: Solve for x
    x = 248,544,310.23/17,419.97
  6. Step 6: Final answer
    x = 14,267.78

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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.