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Finding the Fourth Proportional to 14,789, 22,198.56 and 7,398.80

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Solution

The fourth proportional to 14,789, 22,198.56 and 7,398.80 is: 11,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789 : 22,198.56 = 7,398.80 : x
  2. Step 2: Convert to fraction form
    14,789/22,198.56 = 7,398.80/x
  3. Step 3: Cross multiply
    14,789x = 22,198.56 × 7,398.80
  4. Step 4: Simplify right side
    14,789x = 164,242,705.73
  5. Step 5: Solve for x
    x = 164,242,705.73/14,789
  6. Step 6: Final answer
    x = 11,105.73

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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.