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Finding the Fourth Proportional to 17,267.16, 25,892.22 and 5,578.86

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Solution

The fourth proportional to 17,267.16, 25,892.22 and 5,578.86 is: 8,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.16 : 25,892.22 = 5,578.86 : x
  2. Step 2: Convert to fraction form
    17,267.16/25,892.22 = 5,578.86/x
  3. Step 3: Cross multiply
    17,267.16x = 25,892.22 × 5,578.86
  4. Step 4: Simplify right side
    17,267.16x = 144,449,070.47
  5. Step 5: Solve for x
    x = 144,449,070.47/17,267.16
  6. Step 6: Final answer
    x = 8,365.54

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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.