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Finding the Fourth Proportional to 16,508.48, 24,764.16 and 7,269.44

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Solution

The fourth proportional to 16,508.48, 24,764.16 and 7,269.44 is: 10,904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.48 : 24,764.16 = 7,269.44 : x
  2. Step 2: Convert to fraction form
    16,508.48/24,764.16 = 7,269.44/x
  3. Step 3: Cross multiply
    16,508.48x = 24,764.16 × 7,269.44
  4. Step 4: Simplify right side
    16,508.48x = 180,021,575.27
  5. Step 5: Solve for x
    x = 180,021,575.27/16,508.48
  6. Step 6: Final answer
    x = 10,904.79

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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.