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Finding the Fourth Proportional to 19,722.72, 27,217.14 and 10,770.20

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Solution

The fourth proportional to 19,722.72, 27,217.14 and 10,770.20 is: 14,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.72 : 27,217.14 = 10,770.20 : x
  2. Step 2: Convert to fraction form
    19,722.72/27,217.14 = 10,770.20/x
  3. Step 3: Cross multiply
    19,722.72x = 27,217.14 × 10,770.20
  4. Step 4: Simplify right side
    19,722.72x = 293,133,905.14
  5. Step 5: Solve for x
    x = 293,133,905.14/19,722.72
  6. Step 6: Final answer
    x = 14,862.75

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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.