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Finding the Fourth Proportional to 12,578.29, 17,330.66 and 9,390.33

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Solution

The fourth proportional to 12,578.29, 17,330.66 and 9,390.33 is: 12,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.29 : 17,330.66 = 9,390.33 : x
  2. Step 2: Convert to fraction form
    12,578.29/17,330.66 = 9,390.33/x
  3. Step 3: Cross multiply
    12,578.29x = 17,330.66 × 9,390.33
  4. Step 4: Simplify right side
    12,578.29x = 162,740,604.78
  5. Step 5: Solve for x
    x = 162,740,604.78/12,578.29
  6. Step 6: Final answer
    x = 12,938.22

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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.