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Finding the Fourth Proportional to 19,822.68, 27,355.14 and 11,439

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Solution

The fourth proportional to 19,822.68, 27,355.14 and 11,439 is: 15,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.68 : 27,355.14 = 11,439 : x
  2. Step 2: Convert to fraction form
    19,822.68/27,355.14 = 11,439/x
  3. Step 3: Cross multiply
    19,822.68x = 27,355.14 × 11,439
  4. Step 4: Simplify right side
    19,822.68x = 312,915,446.46
  5. Step 5: Solve for x
    x = 312,915,446.46/19,822.68
  6. Step 6: Final answer
    x = 15,785.73

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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.