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Finding the Fourth Proportional to 13,883.37, 20,826.87 and 7,309.91

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Solution

The fourth proportional to 13,883.37, 20,826.87 and 7,309.91 is: 10,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.37 : 20,826.87 = 7,309.91 : x
  2. Step 2: Convert to fraction form
    13,883.37/20,826.87 = 7,309.91/x
  3. Step 3: Cross multiply
    13,883.37x = 20,826.87 × 7,309.91
  4. Step 4: Simplify right side
    13,883.37x = 152,242,545.28
  5. Step 5: Solve for x
    x = 152,242,545.28/13,883.37
  6. Step 6: Final answer
    x = 10,965.82

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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.