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Finding the Fourth Proportional to 22,762.16, 34,128.96 and 6,961.94

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Solution

The fourth proportional to 22,762.16, 34,128.96 and 6,961.94 is: 10,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.16 : 34,128.96 = 6,961.94 : x
  2. Step 2: Convert to fraction form
    22,762.16/34,128.96 = 6,961.94/x
  3. Step 3: Cross multiply
    22,762.16x = 34,128.96 × 6,961.94
  4. Step 4: Simplify right side
    22,762.16x = 237,603,771.78
  5. Step 5: Solve for x
    x = 237,603,771.78/22,762.16
  6. Step 6: Final answer
    x = 10,438.54

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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.