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Finding the Fourth Proportional to 13,011.00, 17,955.74 and 8,229.23

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Solution

The fourth proportional to 13,011.00, 17,955.74 and 8,229.23 is: 11,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.00 : 17,955.74 = 8,229.23 : x
  2. Step 2: Convert to fraction form
    13,011.00/17,955.74 = 8,229.23/x
  3. Step 3: Cross multiply
    13,011.00x = 17,955.74 × 8,229.23
  4. Step 4: Simplify right side
    13,011.00x = 147,761,912.41
  5. Step 5: Solve for x
    x = 147,761,912.41/13,011.00
  6. Step 6: Final answer
    x = 11,356.69

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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.