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Finding the Fourth Proportional to 16,446.38, 24,672 and 4,758.08

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Solution

The fourth proportional to 16,446.38, 24,672 and 4,758.08 is: 7,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.38 : 24,672 = 4,758.08 : x
  2. Step 2: Convert to fraction form
    16,446.38/24,672 = 4,758.08/x
  3. Step 3: Cross multiply
    16,446.38x = 24,672 × 4,758.08
  4. Step 4: Simplify right side
    16,446.38x = 117,391,349.76
  5. Step 5: Solve for x
    x = 117,391,349.76/16,446.38
  6. Step 6: Final answer
    x = 7,137.82

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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.