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Finding the Fourth Proportional to 20,410.40, 30,586.80 and 9,999.20

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Solution

The fourth proportional to 20,410.40, 30,586.80 and 9,999.20 is: 14,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410.40 : 30,586.80 = 9,999.20 : x
  2. Step 2: Convert to fraction form
    20,410.40/30,586.80 = 9,999.20/x
  3. Step 3: Cross multiply
    20,410.40x = 30,586.80 × 9,999.20
  4. Step 4: Simplify right side
    20,410.40x = 305,843,530.56
  5. Step 5: Solve for x
    x = 305,843,530.56/20,410.40
  6. Step 6: Final answer
    x = 14,984.69

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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.