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Finding the Fourth Proportional to 16,297.92, 24,446.88 and 5,775.66

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Solution

The fourth proportional to 16,297.92, 24,446.88 and 5,775.66 is: 8,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.92 : 24,446.88 = 5,775.66 : x
  2. Step 2: Convert to fraction form
    16,297.92/24,446.88 = 5,775.66/x
  3. Step 3: Cross multiply
    16,297.92x = 24,446.88 × 5,775.66
  4. Step 4: Simplify right side
    16,297.92x = 141,196,866.94
  5. Step 5: Solve for x
    x = 141,196,866.94/16,297.92
  6. Step 6: Final answer
    x = 8,663.49

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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.