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Finding the Fourth Proportional to 27,414.39, 37,831.54 and 15,478.23

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Solution

The fourth proportional to 27,414.39, 37,831.54 and 15,478.23 is: 21,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.39 : 37,831.54 = 15,478.23 : x
  2. Step 2: Convert to fraction form
    27,414.39/37,831.54 = 15,478.23/x
  3. Step 3: Cross multiply
    27,414.39x = 37,831.54 × 15,478.23
  4. Step 4: Simplify right side
    27,414.39x = 585,565,277.37
  5. Step 5: Solve for x
    x = 585,565,277.37/27,414.39
  6. Step 6: Final answer
    x = 21,359.78

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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.