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Finding the Fourth Proportional to 16,109.76, 24,163.56 and 4,422

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Solution

The fourth proportional to 16,109.76, 24,163.56 and 4,422 is: 6,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.76 : 24,163.56 = 4,422 : x
  2. Step 2: Convert to fraction form
    16,109.76/24,163.56 = 4,422/x
  3. Step 3: Cross multiply
    16,109.76x = 24,163.56 × 4,422
  4. Step 4: Simplify right side
    16,109.76x = 106,851,262.32
  5. Step 5: Solve for x
    x = 106,851,262.32/16,109.76
  6. Step 6: Final answer
    x = 6,632.70

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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.