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Finding the Fourth Proportional to 12,047.72, 18,107.22 and 9,980.96

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Solution

The fourth proportional to 12,047.72, 18,107.22 and 9,980.96 is: 15,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.72 : 18,107.22 = 9,980.96 : x
  2. Step 2: Convert to fraction form
    12,047.72/18,107.22 = 9,980.96/x
  3. Step 3: Cross multiply
    12,047.72x = 18,107.22 × 9,980.96
  4. Step 4: Simplify right side
    12,047.72x = 180,727,438.53
  5. Step 5: Solve for x
    x = 180,727,438.53/12,047.72
  6. Step 6: Final answer
    x = 15,000.97

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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.