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Finding the Fourth Proportional to 22,172, 33,263.48 and 6,589.56

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Solution

The fourth proportional to 22,172, 33,263.48 and 6,589.56 is: 9,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,172 : 33,263.48 = 6,589.56 : x
  2. Step 2: Convert to fraction form
    22,172/33,263.48 = 6,589.56/x
  3. Step 3: Cross multiply
    22,172x = 33,263.48 × 6,589.56
  4. Step 4: Simplify right side
    22,172x = 219,191,697.27
  5. Step 5: Solve for x
    x = 219,191,697.27/22,172
  6. Step 6: Final answer
    x = 9,885.97

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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.