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Finding the Fourth Proportional to 17,966.86, 24,794.30 and 10,414.64

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Solution

The fourth proportional to 17,966.86, 24,794.30 and 10,414.64 is: 14,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.86 : 24,794.30 = 10,414.64 : x
  2. Step 2: Convert to fraction form
    17,966.86/24,794.30 = 10,414.64/x
  3. Step 3: Cross multiply
    17,966.86x = 24,794.30 × 10,414.64
  4. Step 4: Simplify right side
    17,966.86x = 258,223,708.55
  5. Step 5: Solve for x
    x = 258,223,708.55/17,966.86
  6. Step 6: Final answer
    x = 14,372.22

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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.