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Finding the Fourth Proportional to 16,548, 24,822 and 7,197.36

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Solution

The fourth proportional to 16,548, 24,822 and 7,197.36 is: 10,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548 : 24,822 = 7,197.36 : x
  2. Step 2: Convert to fraction form
    16,548/24,822 = 7,197.36/x
  3. Step 3: Cross multiply
    16,548x = 24,822 × 7,197.36
  4. Step 4: Simplify right side
    16,548x = 178,652,869.92
  5. Step 5: Solve for x
    x = 178,652,869.92/16,548
  6. Step 6: Final answer
    x = 10,796.04

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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.