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Finding the Fourth Proportional to 12,645.72, 18,962.10 and 8,019

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Solution

The fourth proportional to 12,645.72, 18,962.10 and 8,019 is: 12,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.72 : 18,962.10 = 8,019 : x
  2. Step 2: Convert to fraction form
    12,645.72/18,962.10 = 8,019/x
  3. Step 3: Cross multiply
    12,645.72x = 18,962.10 × 8,019
  4. Step 4: Simplify right side
    12,645.72x = 152,057,079.90
  5. Step 5: Solve for x
    x = 152,057,079.90/12,645.72
  6. Step 6: Final answer
    x = 12,024.39

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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.