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Finding the Fourth Proportional to 16,174.62, 24,244.54 and 7,836.23

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Solution

The fourth proportional to 16,174.62, 24,244.54 and 7,836.23 is: 11,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.62 : 24,244.54 = 7,836.23 : x
  2. Step 2: Convert to fraction form
    16,174.62/24,244.54 = 7,836.23/x
  3. Step 3: Cross multiply
    16,174.62x = 24,244.54 × 7,836.23
  4. Step 4: Simplify right side
    16,174.62x = 189,985,718.37
  5. Step 5: Solve for x
    x = 189,985,718.37/16,174.62
  6. Step 6: Final answer
    x = 11,745.92

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1.5x scale

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.