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Finding the Fourth Proportional to 16,314.22, 24,468.09 and 5,922.46

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Solution

The fourth proportional to 16,314.22, 24,468.09 and 5,922.46 is: 8,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.22 : 24,468.09 = 5,922.46 : x
  2. Step 2: Convert to fraction form
    16,314.22/24,468.09 = 5,922.46/x
  3. Step 3: Cross multiply
    16,314.22x = 24,468.09 × 5,922.46
  4. Step 4: Simplify right side
    16,314.22x = 144,911,284.30
  5. Step 5: Solve for x
    x = 144,911,284.30/16,314.22
  6. Step 6: Final answer
    x = 8,882.51

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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.