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Finding the Fourth Proportional to 20,811.96, 31,219.02 and 6,962.04

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Solution

The fourth proportional to 20,811.96, 31,219.02 and 6,962.04 is: 10,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.96 : 31,219.02 = 6,962.04 : x
  2. Step 2: Convert to fraction form
    20,811.96/31,219.02 = 6,962.04/x
  3. Step 3: Cross multiply
    20,811.96x = 31,219.02 × 6,962.04
  4. Step 4: Simplify right side
    20,811.96x = 217,348,066.00
  5. Step 5: Solve for x
    x = 217,348,066.00/20,811.96
  6. Step 6: Final answer
    x = 10,443.42

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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.