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Finding the Fourth Proportional to 11,705.20, 17,433.62 and 11,648.68

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Solution

The fourth proportional to 11,705.20, 17,433.62 and 11,648.68 is: 17,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.20 : 17,433.62 = 11,648.68 : x
  2. Step 2: Convert to fraction form
    11,705.20/17,433.62 = 11,648.68/x
  3. Step 3: Cross multiply
    11,705.20x = 17,433.62 × 11,648.68
  4. Step 4: Simplify right side
    11,705.20x = 203,078,660.62
  5. Step 5: Solve for x
    x = 203,078,660.62/11,705.20
  6. Step 6: Final answer
    x = 17,349.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.