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Finding the Fourth Proportional to 16,226.37, 24,339.76 and 5,695.97

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Solution

The fourth proportional to 16,226.37, 24,339.76 and 5,695.97 is: 8,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.37 : 24,339.76 = 5,695.97 : x
  2. Step 2: Convert to fraction form
    16,226.37/24,339.76 = 5,695.97/x
  3. Step 3: Cross multiply
    16,226.37x = 24,339.76 × 5,695.97
  4. Step 4: Simplify right side
    16,226.37x = 138,638,406.83
  5. Step 5: Solve for x
    x = 138,638,406.83/16,226.37
  6. Step 6: Final answer
    x = 8,544.02

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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.