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Finding the Fourth Proportional to 20,361.48, 30,490.38 and 13,414.92

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Solution

The fourth proportional to 20,361.48, 30,490.38 and 13,414.92 is: 20,088.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,361.48 : 30,490.38 = 13,414.92 : x
  2. Step 2: Convert to fraction form
    20,361.48/30,490.38 = 13,414.92/x
  3. Step 3: Cross multiply
    20,361.48x = 30,490.38 × 13,414.92
  4. Step 4: Simplify right side
    20,361.48x = 409,026,008.47
  5. Step 5: Solve for x
    x = 409,026,008.47/20,361.48
  6. Step 6: Final answer
    x = 20,088.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.