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Finding the Fourth Proportional to 19,727.50, 27,223.95 and 10,775.03

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Solution

The fourth proportional to 19,727.50, 27,223.95 and 10,775.03 is: 14,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,727.50 : 27,223.95 = 10,775.03 : x
  2. Step 2: Convert to fraction form
    19,727.50/27,223.95 = 10,775.03/x
  3. Step 3: Cross multiply
    19,727.50x = 27,223.95 × 10,775.03
  4. Step 4: Simplify right side
    19,727.50x = 293,338,687.97
  5. Step 5: Solve for x
    x = 293,338,687.97/19,727.50
  6. Step 6: Final answer
    x = 14,869.53

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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.