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Finding the Fourth Proportional to 19,540.18, 26,963.82 and 11,473

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Solution

The fourth proportional to 19,540.18, 26,963.82 and 11,473 is: 15,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540.18 : 26,963.82 = 11,473 : x
  2. Step 2: Convert to fraction form
    19,540.18/26,963.82 = 11,473/x
  3. Step 3: Cross multiply
    19,540.18x = 26,963.82 × 11,473
  4. Step 4: Simplify right side
    19,540.18x = 309,355,906.86
  5. Step 5: Solve for x
    x = 309,355,906.86/19,540.18
  6. Step 6: Final answer
    x = 15,831.78

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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.