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Finding the Fourth Proportional to 16,142.32, 24,221.77 and 6,661.64

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Solution

The fourth proportional to 16,142.32, 24,221.77 and 6,661.64 is: 9,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.32 : 24,221.77 = 6,661.64 : x
  2. Step 2: Convert to fraction form
    16,142.32/24,221.77 = 6,661.64/x
  3. Step 3: Cross multiply
    16,142.32x = 24,221.77 × 6,661.64
  4. Step 4: Simplify right side
    16,142.32x = 161,356,711.90
  5. Step 5: Solve for x
    x = 161,356,711.90/16,142.32
  6. Step 6: Final answer
    x = 9,995.88

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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.