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Finding the Fourth Proportional to 22,126.42, 33,189.63 and 6,542.83

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Solution

The fourth proportional to 22,126.42, 33,189.63 and 6,542.83 is: 9,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,126.42 : 33,189.63 = 6,542.83 : x
  2. Step 2: Convert to fraction form
    22,126.42/33,189.63 = 6,542.83/x
  3. Step 3: Cross multiply
    22,126.42x = 33,189.63 × 6,542.83
  4. Step 4: Simplify right side
    22,126.42x = 217,154,106.85
  5. Step 5: Solve for x
    x = 217,154,106.85/22,126.42
  6. Step 6: Final answer
    x = 9,814.25

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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.