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Finding the Fourth Proportional to 13,083.60, 18,057.16 and 9,934.80

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Solution

The fourth proportional to 13,083.60, 18,057.16 and 9,934.80 is: 13,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.60 : 18,057.16 = 9,934.80 : x
  2. Step 2: Convert to fraction form
    13,083.60/18,057.16 = 9,934.80/x
  3. Step 3: Cross multiply
    13,083.60x = 18,057.16 × 9,934.80
  4. Step 4: Simplify right side
    13,083.60x = 179,394,273.17
  5. Step 5: Solve for x
    x = 179,394,273.17/13,083.60
  6. Step 6: Final answer
    x = 13,711.38

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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.