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Finding the Fourth Proportional to 17,494.22, 24,142.19 and 10,324.31

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Solution

The fourth proportional to 17,494.22, 24,142.19 and 10,324.31 is: 14,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.22 : 24,142.19 = 10,324.31 : x
  2. Step 2: Convert to fraction form
    17,494.22/24,142.19 = 10,324.31/x
  3. Step 3: Cross multiply
    17,494.22x = 24,142.19 × 10,324.31
  4. Step 4: Simplify right side
    17,494.22x = 249,251,281.31
  5. Step 5: Solve for x
    x = 249,251,281.31/17,494.22
  6. Step 6: Final answer
    x = 14,247.63

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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.