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Finding the Fourth Proportional to 12,033.50, 16,606.23 and 6,728.20

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Solution

The fourth proportional to 12,033.50, 16,606.23 and 6,728.20 is: 9,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.50 : 16,606.23 = 6,728.20 : x
  2. Step 2: Convert to fraction form
    12,033.50/16,606.23 = 6,728.20/x
  3. Step 3: Cross multiply
    12,033.50x = 16,606.23 × 6,728.20
  4. Step 4: Simplify right side
    12,033.50x = 111,730,036.69
  5. Step 5: Solve for x
    x = 111,730,036.69/12,033.50
  6. Step 6: Final answer
    x = 9,284.92

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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.