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Finding the Fourth Proportional to 22,684.86, 34,002.08 and 17,120.16

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Solution

The fourth proportional to 22,684.86, 34,002.08 and 17,120.16 is: 25,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.86 : 34,002.08 = 17,120.16 : x
  2. Step 2: Convert to fraction form
    22,684.86/34,002.08 = 17,120.16/x
  3. Step 3: Cross multiply
    22,684.86x = 34,002.08 × 17,120.16
  4. Step 4: Simplify right side
    22,684.86x = 582,121,028.53
  5. Step 5: Solve for x
    x = 582,121,028.53/22,684.86
  6. Step 6: Final answer
    x = 25,661.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.