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Finding the Fourth Proportional to 13,581, 20,371.23 and 4,813.83

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Solution

The fourth proportional to 13,581, 20,371.23 and 4,813.83 is: 7,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581 : 20,371.23 = 4,813.83 : x
  2. Step 2: Convert to fraction form
    13,581/20,371.23 = 4,813.83/x
  3. Step 3: Cross multiply
    13,581x = 20,371.23 × 4,813.83
  4. Step 4: Simplify right side
    13,581x = 98,063,638.11
  5. Step 5: Solve for x
    x = 98,063,638.11/13,581
  6. Step 6: Final answer
    x = 7,220.65

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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.