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Finding the Fourth Proportional to 16,558, 24,837.72 and 4,872.22

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Solution

The fourth proportional to 16,558, 24,837.72 and 4,872.22 is: 7,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,558 : 24,837.72 = 4,872.22 : x
  2. Step 2: Convert to fraction form
    16,558/24,837.72 = 4,872.22/x
  3. Step 3: Cross multiply
    16,558x = 24,837.72 × 4,872.22
  4. Step 4: Simplify right side
    16,558x = 121,014,836.14
  5. Step 5: Solve for x
    x = 121,014,836.14/16,558
  6. Step 6: Final answer
    x = 7,308.54

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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.