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Finding the Fourth Proportional to 13,883, 20,826.67 and 4,520.81

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Solution

The fourth proportional to 13,883, 20,826.67 and 4,520.81 is: 6,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883 : 20,826.67 = 4,520.81 : x
  2. Step 2: Convert to fraction form
    13,883/20,826.67 = 4,520.81/x
  3. Step 3: Cross multiply
    13,883x = 20,826.67 × 4,520.81
  4. Step 4: Simplify right side
    13,883x = 94,153,418.00
  5. Step 5: Solve for x
    x = 94,153,418.00/13,883
  6. Step 6: Final answer
    x = 6,781.92

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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.