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Finding the Fourth Proportional to 27,806.28, 38,373.12 and 15,230.22

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Solution

The fourth proportional to 27,806.28, 38,373.12 and 15,230.22 is: 21,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.28 : 38,373.12 = 15,230.22 : x
  2. Step 2: Convert to fraction form
    27,806.28/38,373.12 = 15,230.22/x
  3. Step 3: Cross multiply
    27,806.28x = 38,373.12 × 15,230.22
  4. Step 4: Simplify right side
    27,806.28x = 584,431,059.69
  5. Step 5: Solve for x
    x = 584,431,059.69/27,806.28
  6. Step 6: Final answer
    x = 21,017.95

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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.