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Finding the Fourth Proportional to 12,386.38, 17,083.65 and 8,609.47

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Solution

The fourth proportional to 12,386.38, 17,083.65 and 8,609.47 is: 11,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.38 : 17,083.65 = 8,609.47 : x
  2. Step 2: Convert to fraction form
    12,386.38/17,083.65 = 8,609.47/x
  3. Step 3: Cross multiply
    12,386.38x = 17,083.65 × 8,609.47
  4. Step 4: Simplify right side
    12,386.38x = 147,081,172.17
  5. Step 5: Solve for x
    x = 147,081,172.17/12,386.38
  6. Step 6: Final answer
    x = 11,874.43

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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.