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Finding the Fourth Proportional to 22,817.72, 34,229.87 and 7,024.10

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Solution

The fourth proportional to 22,817.72, 34,229.87 and 7,024.10 is: 10,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.72 : 34,229.87 = 7,024.10 : x
  2. Step 2: Convert to fraction form
    22,817.72/34,229.87 = 7,024.10/x
  3. Step 3: Cross multiply
    22,817.72x = 34,229.87 × 7,024.10
  4. Step 4: Simplify right side
    22,817.72x = 240,433,823.60
  5. Step 5: Solve for x
    x = 240,433,823.60/22,817.72
  6. Step 6: Final answer
    x = 10,537.16

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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.