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Finding the Fourth Proportional to 22,616.71, 31,182.37 and 16,164.05

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Solution

The fourth proportional to 22,616.71, 31,182.37 and 16,164.05 is: 22,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.71 : 31,182.37 = 16,164.05 : x
  2. Step 2: Convert to fraction form
    22,616.71/31,182.37 = 16,164.05/x
  3. Step 3: Cross multiply
    22,616.71x = 31,182.37 × 16,164.05
  4. Step 4: Simplify right side
    22,616.71x = 504,033,191.48
  5. Step 5: Solve for x
    x = 504,033,191.48/22,616.71
  6. Step 6: Final answer
    x = 22,285.88

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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.