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Finding the Fourth Proportional to 28,206.96, 42,311.18 and 9,487.32

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Solution

The fourth proportional to 28,206.96, 42,311.18 and 9,487.32 is: 14,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206.96 : 42,311.18 = 9,487.32 : x
  2. Step 2: Convert to fraction form
    28,206.96/42,311.18 = 9,487.32/x
  3. Step 3: Cross multiply
    28,206.96x = 42,311.18 × 9,487.32
  4. Step 4: Simplify right side
    28,206.96x = 401,419,704.24
  5. Step 5: Solve for x
    x = 401,419,704.24/28,206.96
  6. Step 6: Final answer
    x = 14,231.23

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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.