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Finding the Fourth Proportional to 12,816.01, 19,202.14 and 6,962.14

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Solution

The fourth proportional to 12,816.01, 19,202.14 and 6,962.14 is: 10,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.01 : 19,202.14 = 6,962.14 : x
  2. Step 2: Convert to fraction form
    12,816.01/19,202.14 = 6,962.14/x
  3. Step 3: Cross multiply
    12,816.01x = 19,202.14 × 6,962.14
  4. Step 4: Simplify right side
    12,816.01x = 133,687,986.98
  5. Step 5: Solve for x
    x = 133,687,986.98/12,816.01
  6. Step 6: Final answer
    x = 10,431.33

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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.