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Finding the Fourth Proportional to 16,400.64, 22,633.28 and 9,327.84

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Solution

The fourth proportional to 16,400.64, 22,633.28 and 9,327.84 is: 12,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.64 : 22,633.28 = 9,327.84 : x
  2. Step 2: Convert to fraction form
    16,400.64/22,633.28 = 9,327.84/x
  3. Step 3: Cross multiply
    16,400.64x = 22,633.28 × 9,327.84
  4. Step 4: Simplify right side
    16,400.64x = 211,119,614.52
  5. Step 5: Solve for x
    x = 211,119,614.52/16,400.64
  6. Step 6: Final answer
    x = 12,872.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.