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Finding the Fourth Proportional to 22,816.96, 34,225.20 and 7,021.96

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Solution

The fourth proportional to 22,816.96, 34,225.20 and 7,021.96 is: 10,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.96 : 34,225.20 = 7,021.96 : x
  2. Step 2: Convert to fraction form
    22,816.96/34,225.20 = 7,021.96/x
  3. Step 3: Cross multiply
    22,816.96x = 34,225.20 × 7,021.96
  4. Step 4: Simplify right side
    22,816.96x = 240,327,899.83
  5. Step 5: Solve for x
    x = 240,327,899.83/22,816.96
  6. Step 6: Final answer
    x = 10,532.86

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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.