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Finding the Fourth Proportional to 22,631.64, 33,934.50 and 21,327

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Solution

The fourth proportional to 22,631.64, 33,934.50 and 21,327 is: 31,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631.64 : 33,934.50 = 21,327 : x
  2. Step 2: Convert to fraction form
    22,631.64/33,934.50 = 21,327/x
  3. Step 3: Cross multiply
    22,631.64x = 33,934.50 × 21,327
  4. Step 4: Simplify right side
    22,631.64x = 723,721,081.50
  5. Step 5: Solve for x
    x = 723,721,081.50/22,631.64
  6. Step 6: Final answer
    x = 31,978.29

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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.