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Finding the Fourth Proportional to 17,498.64, 26,232.39 and 6,822.53

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Solution

The fourth proportional to 17,498.64, 26,232.39 and 6,822.53 is: 10,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.64 : 26,232.39 = 6,822.53 : x
  2. Step 2: Convert to fraction form
    17,498.64/26,232.39 = 6,822.53/x
  3. Step 3: Cross multiply
    17,498.64x = 26,232.39 × 6,822.53
  4. Step 4: Simplify right side
    17,498.64x = 178,971,358.91
  5. Step 5: Solve for x
    x = 178,971,358.91/17,498.64
  6. Step 6: Final answer
    x = 10,227.73

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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.