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Finding the Fourth Proportional to 27,778.36, 38,332.66 and 15,200.68

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Solution

The fourth proportional to 27,778.36, 38,332.66 and 15,200.68 is: 20,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.36 : 38,332.66 = 15,200.68 : x
  2. Step 2: Convert to fraction form
    27,778.36/38,332.66 = 15,200.68/x
  3. Step 3: Cross multiply
    27,778.36x = 38,332.66 × 15,200.68
  4. Step 4: Simplify right side
    27,778.36x = 582,682,498.21
  5. Step 5: Solve for x
    x = 582,682,498.21/27,778.36
  6. Step 6: Final answer
    x = 20,976.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.