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Finding the Fourth Proportional to 13,420.24, 18,520.78 and 7,755.22

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Solution

The fourth proportional to 13,420.24, 18,520.78 and 7,755.22 is: 10,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.24 : 18,520.78 = 7,755.22 : x
  2. Step 2: Convert to fraction form
    13,420.24/18,520.78 = 7,755.22/x
  3. Step 3: Cross multiply
    13,420.24x = 18,520.78 × 7,755.22
  4. Step 4: Simplify right side
    13,420.24x = 143,632,723.47
  5. Step 5: Solve for x
    x = 143,632,723.47/13,420.24
  6. Step 6: Final answer
    x = 10,702.69

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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.