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Finding the Fourth Proportional to 13,545.81, 20,313.32 and 5,221.21

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Solution

The fourth proportional to 13,545.81, 20,313.32 and 5,221.21 is: 7,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.81 : 20,313.32 = 5,221.21 : x
  2. Step 2: Convert to fraction form
    13,545.81/20,313.32 = 5,221.21/x
  3. Step 3: Cross multiply
    13,545.81x = 20,313.32 × 5,221.21
  4. Step 4: Simplify right side
    13,545.81x = 106,060,083.41
  5. Step 5: Solve for x
    x = 106,060,083.41/13,545.81
  6. Step 6: Final answer
    x = 7,829.73

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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.