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Finding the Fourth Proportional to 17,617.16, 24,314.76 and 13,382.24

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Solution

The fourth proportional to 17,617.16, 24,314.76 and 13,382.24 is: 18,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.16 : 24,314.76 = 13,382.24 : x
  2. Step 2: Convert to fraction form
    17,617.16/24,314.76 = 13,382.24/x
  3. Step 3: Cross multiply
    17,617.16x = 24,314.76 × 13,382.24
  4. Step 4: Simplify right side
    17,617.16x = 325,385,953.86
  5. Step 5: Solve for x
    x = 325,385,953.86/17,617.16
  6. Step 6: Final answer
    x = 18,469.83

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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.