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Finding the Fourth Proportional to 22,773.50, 34,156.38 and 6,129.83

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Solution

The fourth proportional to 22,773.50, 34,156.38 and 6,129.83 is: 9,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.50 : 34,156.38 = 6,129.83 : x
  2. Step 2: Convert to fraction form
    22,773.50/34,156.38 = 6,129.83/x
  3. Step 3: Cross multiply
    22,773.50x = 34,156.38 × 6,129.83
  4. Step 4: Simplify right side
    22,773.50x = 209,372,632.03
  5. Step 5: Solve for x
    x = 209,372,632.03/22,773.50
  6. Step 6: Final answer
    x = 9,193.69

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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.