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Finding the Fourth Proportional to 13,520.86, 20,282.49 and 4,755.85

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Solution

The fourth proportional to 13,520.86, 20,282.49 and 4,755.85 is: 7,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.86 : 20,282.49 = 4,755.85 : x
  2. Step 2: Convert to fraction form
    13,520.86/20,282.49 = 4,755.85/x
  3. Step 3: Cross multiply
    13,520.86x = 20,282.49 × 4,755.85
  4. Step 4: Simplify right side
    13,520.86x = 96,460,480.07
  5. Step 5: Solve for x
    x = 96,460,480.07/13,520.86
  6. Step 6: Final answer
    x = 7,134.20

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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.