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Finding the Fourth Proportional to 13,999.20, 20,999.46 and 4,139.24

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Solution

The fourth proportional to 13,999.20, 20,999.46 and 4,139.24 is: 6,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.20 : 20,999.46 = 4,139.24 : x
  2. Step 2: Convert to fraction form
    13,999.20/20,999.46 = 4,139.24/x
  3. Step 3: Cross multiply
    13,999.20x = 20,999.46 × 4,139.24
  4. Step 4: Simplify right side
    13,999.20x = 86,921,804.81
  5. Step 5: Solve for x
    x = 86,921,804.81/13,999.20
  6. Step 6: Final answer
    x = 6,209.06

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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.