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Finding the Fourth Proportional to 22,306.25, 33,472.34 and 9,994.25

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Solution

The fourth proportional to 22,306.25, 33,472.34 and 9,994.25 is: 14,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.25 : 33,472.34 = 9,994.25 : x
  2. Step 2: Convert to fraction form
    22,306.25/33,472.34 = 9,994.25/x
  3. Step 3: Cross multiply
    22,306.25x = 33,472.34 × 9,994.25
  4. Step 4: Simplify right side
    22,306.25x = 334,530,934.05
  5. Step 5: Solve for x
    x = 334,530,934.05/22,306.25
  6. Step 6: Final answer
    x = 14,997.18

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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.