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Finding the Fourth Proportional to 12,383.39, 18,575.09 and 5,357.66

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Solution

The fourth proportional to 12,383.39, 18,575.09 and 5,357.66 is: 8,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.39 : 18,575.09 = 5,357.66 : x
  2. Step 2: Convert to fraction form
    12,383.39/18,575.09 = 5,357.66/x
  3. Step 3: Cross multiply
    12,383.39x = 18,575.09 × 5,357.66
  4. Step 4: Simplify right side
    12,383.39x = 99,518,897.03
  5. Step 5: Solve for x
    x = 99,518,897.03/12,383.39
  6. Step 6: Final answer
    x = 8,036.49

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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.