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Finding the Fourth Proportional to 12,022.83, 16,591.23 and 6,718.14

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Solution

The fourth proportional to 12,022.83, 16,591.23 and 6,718.14 is: 9,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.83 : 16,591.23 = 6,718.14 : x
  2. Step 2: Convert to fraction form
    12,022.83/16,591.23 = 6,718.14/x
  3. Step 3: Cross multiply
    12,022.83x = 16,591.23 × 6,718.14
  4. Step 4: Simplify right side
    12,022.83x = 111,462,205.91
  5. Step 5: Solve for x
    x = 111,462,205.91/12,022.83
  6. Step 6: Final answer
    x = 9,270.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.