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Finding the Fourth Proportional to 15,104.92, 20,844.35 and 8,390.38

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Solution

The fourth proportional to 15,104.92, 20,844.35 and 8,390.38 is: 11,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,104.92 : 20,844.35 = 8,390.38 : x
  2. Step 2: Convert to fraction form
    15,104.92/20,844.35 = 8,390.38/x
  3. Step 3: Cross multiply
    15,104.92x = 20,844.35 × 8,390.38
  4. Step 4: Simplify right side
    15,104.92x = 174,891,934.11
  5. Step 5: Solve for x
    x = 174,891,934.11/15,104.92
  6. Step 6: Final answer
    x = 11,578.48

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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.