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Finding the Fourth Proportional to 12,911.28, 17,817.65 and 8,432.38

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Solution

The fourth proportional to 12,911.28, 17,817.65 and 8,432.38 is: 11,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.28 : 17,817.65 = 8,432.38 : x
  2. Step 2: Convert to fraction form
    12,911.28/17,817.65 = 8,432.38/x
  3. Step 3: Cross multiply
    12,911.28x = 17,817.65 × 8,432.38
  4. Step 4: Simplify right side
    12,911.28x = 150,245,195.51
  5. Step 5: Solve for x
    x = 150,245,195.51/12,911.28
  6. Step 6: Final answer
    x = 11,636.74

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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.