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Finding the Fourth Proportional to 19,831.26, 27,367.84 and 10,878.78

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Solution

The fourth proportional to 19,831.26, 27,367.84 and 10,878.78 is: 15,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.26 : 27,367.84 = 10,878.78 : x
  2. Step 2: Convert to fraction form
    19,831.26/27,367.84 = 10,878.78/x
  3. Step 3: Cross multiply
    19,831.26x = 27,367.84 × 10,878.78
  4. Step 4: Simplify right side
    19,831.26x = 297,728,710.44
  5. Step 5: Solve for x
    x = 297,728,710.44/19,831.26
  6. Step 6: Final answer
    x = 15,013.10

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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.