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Finding the Fourth Proportional to 16,496.64, 24,727.68 and 6,633.60

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Solution

The fourth proportional to 16,496.64, 24,727.68 and 6,633.60 is: 9,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.64 : 24,727.68 = 6,633.60 : x
  2. Step 2: Convert to fraction form
    16,496.64/24,727.68 = 6,633.60/x
  3. Step 3: Cross multiply
    16,496.64x = 24,727.68 × 6,633.60
  4. Step 4: Simplify right side
    16,496.64x = 164,033,538.05
  5. Step 5: Solve for x
    x = 164,033,538.05/16,496.64
  6. Step 6: Final answer
    x = 9,943.45

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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.