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Finding the Fourth Proportional to 27,406.78, 37,821.52 and 14,831.54

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Solution

The fourth proportional to 27,406.78, 37,821.52 and 14,831.54 is: 20,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.78 : 37,821.52 = 14,831.54 : x
  2. Step 2: Convert to fraction form
    27,406.78/37,821.52 = 14,831.54/x
  3. Step 3: Cross multiply
    27,406.78x = 37,821.52 × 14,831.54
  4. Step 4: Simplify right side
    27,406.78x = 560,951,386.74
  5. Step 5: Solve for x
    x = 560,951,386.74/27,406.78
  6. Step 6: Final answer
    x = 20,467.61

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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.