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Finding the Fourth Proportional to 17,635.73, 26,466.38 and 6,544

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Solution

The fourth proportional to 17,635.73, 26,466.38 and 6,544 is: 9,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.73 : 26,466.38 = 6,544 : x
  2. Step 2: Convert to fraction form
    17,635.73/26,466.38 = 6,544/x
  3. Step 3: Cross multiply
    17,635.73x = 26,466.38 × 6,544
  4. Step 4: Simplify right side
    17,635.73x = 173,195,990.72
  5. Step 5: Solve for x
    x = 173,195,990.72/17,635.73
  6. Step 6: Final answer
    x = 9,820.74

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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.