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Finding the Fourth Proportional to 18,922.64, 28,367.46 and 7,822.40

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Solution

The fourth proportional to 18,922.64, 28,367.46 and 7,822.40 is: 11,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922.64 : 28,367.46 = 7,822.40 : x
  2. Step 2: Convert to fraction form
    18,922.64/28,367.46 = 7,822.40/x
  3. Step 3: Cross multiply
    18,922.64x = 28,367.46 × 7,822.40
  4. Step 4: Simplify right side
    18,922.64x = 221,901,619.10
  5. Step 5: Solve for x
    x = 221,901,619.10/18,922.64
  6. Step 6: Final answer
    x = 11,726.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.