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Finding the Fourth Proportional to 17,883.68, 24,678.33 and 11,168.91

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Solution

The fourth proportional to 17,883.68, 24,678.33 and 11,168.91 is: 15,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883.68 : 24,678.33 = 11,168.91 : x
  2. Step 2: Convert to fraction form
    17,883.68/24,678.33 = 11,168.91/x
  3. Step 3: Cross multiply
    17,883.68x = 24,678.33 × 11,168.91
  4. Step 4: Simplify right side
    17,883.68x = 275,630,046.72
  5. Step 5: Solve for x
    x = 275,630,046.72/17,883.68
  6. Step 6: Final answer
    x = 15,412.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.