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Finding the Fourth Proportional to 22,393.92, 33,581.44 and 6,808

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Solution

The fourth proportional to 22,393.92, 33,581.44 and 6,808 is: 10,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,393.92 : 33,581.44 = 6,808 : x
  2. Step 2: Convert to fraction form
    22,393.92/33,581.44 = 6,808/x
  3. Step 3: Cross multiply
    22,393.92x = 33,581.44 × 6,808
  4. Step 4: Simplify right side
    22,393.92x = 228,622,443.52
  5. Step 5: Solve for x
    x = 228,622,443.52/22,393.92
  6. Step 6: Final answer
    x = 10,209.13

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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.