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Finding the Fourth Proportional to 22,306.50, 33,472.71 and 9,994.50

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Solution

The fourth proportional to 22,306.50, 33,472.71 and 9,994.50 is: 14,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.50 : 33,472.71 = 9,994.50 : x
  2. Step 2: Convert to fraction form
    22,306.50/33,472.71 = 9,994.50/x
  3. Step 3: Cross multiply
    22,306.50x = 33,472.71 × 9,994.50
  4. Step 4: Simplify right side
    22,306.50x = 334,543,000.10
  5. Step 5: Solve for x
    x = 334,543,000.10/22,306.50
  6. Step 6: Final answer
    x = 14,997.56

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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.