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Finding the Fourth Proportional to 17,617.64, 24,333.62 and 12,829.92

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Solution

The fourth proportional to 17,617.64, 24,333.62 and 12,829.92 is: 17,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.64 : 24,333.62 = 12,829.92 : x
  2. Step 2: Convert to fraction form
    17,617.64/24,333.62 = 12,829.92/x
  3. Step 3: Cross multiply
    17,617.64x = 24,333.62 × 12,829.92
  4. Step 4: Simplify right side
    17,617.64x = 312,198,397.91
  5. Step 5: Solve for x
    x = 312,198,397.91/17,617.64
  6. Step 6: Final answer
    x = 17,720.78

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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.