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Finding the Fourth Proportional to 12,072.96, 18,105.12 and 6,530.40

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Solution

The fourth proportional to 12,072.96, 18,105.12 and 6,530.40 is: 9,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.96 : 18,105.12 = 6,530.40 : x
  2. Step 2: Convert to fraction form
    12,072.96/18,105.12 = 6,530.40/x
  3. Step 3: Cross multiply
    12,072.96x = 18,105.12 × 6,530.40
  4. Step 4: Simplify right side
    12,072.96x = 118,233,675.65
  5. Step 5: Solve for x
    x = 118,233,675.65/12,072.96
  6. Step 6: Final answer
    x = 9,793.26

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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.