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Finding the Fourth Proportional to 16,444, 24,667.22 and 5,349.84

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Solution

The fourth proportional to 16,444, 24,667.22 and 5,349.84 is: 8,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,444 : 24,667.22 = 5,349.84 : x
  2. Step 2: Convert to fraction form
    16,444/24,667.22 = 5,349.84/x
  3. Step 3: Cross multiply
    16,444x = 24,667.22 × 5,349.84
  4. Step 4: Simplify right side
    16,444x = 131,965,680.24
  5. Step 5: Solve for x
    x = 131,965,680.24/16,444
  6. Step 6: Final answer
    x = 8,025.16

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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.