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Finding the Fourth Proportional to 12,099.65, 18,144.79 and 4,703.14

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Solution

The fourth proportional to 12,099.65, 18,144.79 and 4,703.14 is: 7,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.65 : 18,144.79 = 4,703.14 : x
  2. Step 2: Convert to fraction form
    12,099.65/18,144.79 = 4,703.14/x
  3. Step 3: Cross multiply
    12,099.65x = 18,144.79 × 4,703.14
  4. Step 4: Simplify right side
    12,099.65x = 85,337,487.64
  5. Step 5: Solve for x
    x = 85,337,487.64/12,099.65
  6. Step 6: Final answer
    x = 7,052.89

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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.