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Finding the Fourth Proportional to 19,722.18, 27,216.09 and 10,769.22

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Solution

The fourth proportional to 19,722.18, 27,216.09 and 10,769.22 is: 14,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.18 : 27,216.09 = 10,769.22 : x
  2. Step 2: Convert to fraction form
    19,722.18/27,216.09 = 10,769.22/x
  3. Step 3: Cross multiply
    19,722.18x = 27,216.09 × 10,769.22
  4. Step 4: Simplify right side
    19,722.18x = 293,096,060.75
  5. Step 5: Solve for x
    x = 293,096,060.75/19,722.18
  6. Step 6: Final answer
    x = 14,861.24

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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.