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Finding the Fourth Proportional to 20,624.34, 30,942.09 and 9,521.94

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Solution

The fourth proportional to 20,624.34, 30,942.09 and 9,521.94 is: 14,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624.34 : 30,942.09 = 9,521.94 : x
  2. Step 2: Convert to fraction form
    20,624.34/30,942.09 = 9,521.94/x
  3. Step 3: Cross multiply
    20,624.34x = 30,942.09 × 9,521.94
  4. Step 4: Simplify right side
    20,624.34x = 294,628,724.45
  5. Step 5: Solve for x
    x = 294,628,724.45/20,624.34
  6. Step 6: Final answer
    x = 14,285.49

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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.