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Finding the Fourth Proportional to 13,863.30, 20,788.76 and 4,000.23

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Solution

The fourth proportional to 13,863.30, 20,788.76 and 4,000.23 is: 5,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.30 : 20,788.76 = 4,000.23 : x
  2. Step 2: Convert to fraction form
    13,863.30/20,788.76 = 4,000.23/x
  3. Step 3: Cross multiply
    13,863.30x = 20,788.76 × 4,000.23
  4. Step 4: Simplify right side
    13,863.30x = 83,159,821.41
  5. Step 5: Solve for x
    x = 83,159,821.41/13,863.30
  6. Step 6: Final answer
    x = 5,998.56

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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.