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Finding the Fourth Proportional to 16,164.32, 24,246.86 and 4,477.64

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Solution

The fourth proportional to 16,164.32, 24,246.86 and 4,477.64 is: 6,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.32 : 24,246.86 = 4,477.64 : x
  2. Step 2: Convert to fraction form
    16,164.32/24,246.86 = 4,477.64/x
  3. Step 3: Cross multiply
    16,164.32x = 24,246.86 × 4,477.64
  4. Step 4: Simplify right side
    16,164.32x = 108,568,566.59
  5. Step 5: Solve for x
    x = 108,568,566.59/16,164.32
  6. Step 6: Final answer
    x = 6,716.56

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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.