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Finding the Fourth Proportional to 17,542.72, 26,298.44 and 6,446.80

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Solution

The fourth proportional to 17,542.72, 26,298.44 and 6,446.80 is: 9,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.72 : 26,298.44 = 6,446.80 : x
  2. Step 2: Convert to fraction form
    17,542.72/26,298.44 = 6,446.80/x
  3. Step 3: Cross multiply
    17,542.72x = 26,298.44 × 6,446.80
  4. Step 4: Simplify right side
    17,542.72x = 169,540,782.99
  5. Step 5: Solve for x
    x = 169,540,782.99/17,542.72
  6. Step 6: Final answer
    x = 9,664.45

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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.