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Finding the Fourth Proportional to 22,300.71, 30,774.96 and 12,229.31

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Solution

The fourth proportional to 22,300.71, 30,774.96 and 12,229.31 is: 16,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.71 : 30,774.96 = 12,229.31 : x
  2. Step 2: Convert to fraction form
    22,300.71/30,774.96 = 12,229.31/x
  3. Step 3: Cross multiply
    22,300.71x = 30,774.96 × 12,229.31
  4. Step 4: Simplify right side
    22,300.71x = 376,356,526.08
  5. Step 5: Solve for x
    x = 376,356,526.08/22,300.71
  6. Step 6: Final answer
    x = 16,876.44

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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.