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Finding the Fourth Proportional to 16,662.24, 22,991 and 10,292.40

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Solution

The fourth proportional to 16,662.24, 22,991 and 10,292.40 is: 14,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662.24 : 22,991 = 10,292.40 : x
  2. Step 2: Convert to fraction form
    16,662.24/22,991 = 10,292.40/x
  3. Step 3: Cross multiply
    16,662.24x = 22,991 × 10,292.40
  4. Step 4: Simplify right side
    16,662.24x = 236,632,568.40
  5. Step 5: Solve for x
    x = 236,632,568.40/16,662.24
  6. Step 6: Final answer
    x = 14,201.73

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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.