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Finding the Fourth Proportional to 22,756.78, 34,136.88 and 7,174

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Solution

The fourth proportional to 22,756.78, 34,136.88 and 7,174 is: 10,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756.78 : 34,136.88 = 7,174 : x
  2. Step 2: Convert to fraction form
    22,756.78/34,136.88 = 7,174/x
  3. Step 3: Cross multiply
    22,756.78x = 34,136.88 × 7,174
  4. Step 4: Simplify right side
    22,756.78x = 244,897,977.12
  5. Step 5: Solve for x
    x = 244,897,977.12/22,756.78
  6. Step 6: Final answer
    x = 10,761.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.