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Finding the Fourth Proportional to 16,422.95, 24,635.75 and 6,556.82

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Solution

The fourth proportional to 16,422.95, 24,635.75 and 6,556.82 is: 9,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.95 : 24,635.75 = 6,556.82 : x
  2. Step 2: Convert to fraction form
    16,422.95/24,635.75 = 6,556.82/x
  3. Step 3: Cross multiply
    16,422.95x = 24,635.75 × 6,556.82
  4. Step 4: Simplify right side
    16,422.95x = 161,532,022.35
  5. Step 5: Solve for x
    x = 161,532,022.35/16,422.95
  6. Step 6: Final answer
    x = 9,835.75

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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.