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Finding the Fourth Proportional to 27,130.92, 37,441.38 and 15,194.20

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Solution

The fourth proportional to 27,130.92, 37,441.38 and 15,194.20 is: 20,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130.92 : 37,441.38 = 15,194.20 : x
  2. Step 2: Convert to fraction form
    27,130.92/37,441.38 = 15,194.20/x
  3. Step 3: Cross multiply
    27,130.92x = 37,441.38 × 15,194.20
  4. Step 4: Simplify right side
    27,130.92x = 568,891,816.00
  5. Step 5: Solve for x
    x = 568,891,816.00/27,130.92
  6. Step 6: Final answer
    x = 20,968.39

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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.