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Finding the Fourth Proportional to 16,052.64, 24,080.04 and 6,192

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Solution

The fourth proportional to 16,052.64, 24,080.04 and 6,192 is: 9,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,052.64 : 24,080.04 = 6,192 : x
  2. Step 2: Convert to fraction form
    16,052.64/24,080.04 = 6,192/x
  3. Step 3: Cross multiply
    16,052.64x = 24,080.04 × 6,192
  4. Step 4: Simplify right side
    16,052.64x = 149,103,607.68
  5. Step 5: Solve for x
    x = 149,103,607.68/16,052.64
  6. Step 6: Final answer
    x = 9,288.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.