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Finding the Fourth Proportional to 16,288.60, 24,416.22 and 6,423.88

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Solution

The fourth proportional to 16,288.60, 24,416.22 and 6,423.88 is: 9,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.60 : 24,416.22 = 6,423.88 : x
  2. Step 2: Convert to fraction form
    16,288.60/24,416.22 = 6,423.88/x
  3. Step 3: Cross multiply
    16,288.60x = 24,416.22 × 6,423.88
  4. Step 4: Simplify right side
    16,288.60x = 156,846,867.33
  5. Step 5: Solve for x
    x = 156,846,867.33/16,288.60
  6. Step 6: Final answer
    x = 9,629.24

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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.