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Finding the Fourth Proportional to 17,642.50, 26,446.92 and 6,546.22

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Solution

The fourth proportional to 17,642.50, 26,446.92 and 6,546.22 is: 9,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.50 : 26,446.92 = 6,546.22 : x
  2. Step 2: Convert to fraction form
    17,642.50/26,446.92 = 6,546.22/x
  3. Step 3: Cross multiply
    17,642.50x = 26,446.92 × 6,546.22
  4. Step 4: Simplify right side
    17,642.50x = 173,127,356.64
  5. Step 5: Solve for x
    x = 173,127,356.64/17,642.50
  6. Step 6: Final answer
    x = 9,813.09

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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.