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Finding the Fourth Proportional to 18,806.30, 25,952.64 and 10,422.80

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Solution

The fourth proportional to 18,806.30, 25,952.64 and 10,422.80 is: 14,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,806.30 : 25,952.64 = 10,422.80 : x
  2. Step 2: Convert to fraction form
    18,806.30/25,952.64 = 10,422.80/x
  3. Step 3: Cross multiply
    18,806.30x = 25,952.64 × 10,422.80
  4. Step 4: Simplify right side
    18,806.30x = 270,499,176.19
  5. Step 5: Solve for x
    x = 270,499,176.19/18,806.30
  6. Step 6: Final answer
    x = 14,383.43

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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.