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Finding the Fourth Proportional to 15,078.90, 20,809.40 and 9,109.38

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Solution

The fourth proportional to 15,078.90, 20,809.40 and 9,109.38 is: 12,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.90 : 20,809.40 = 9,109.38 : x
  2. Step 2: Convert to fraction form
    15,078.90/20,809.40 = 9,109.38/x
  3. Step 3: Cross multiply
    15,078.90x = 20,809.40 × 9,109.38
  4. Step 4: Simplify right side
    15,078.90x = 189,560,732.17
  5. Step 5: Solve for x
    x = 189,560,732.17/15,078.90
  6. Step 6: Final answer
    x = 12,571.26

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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.