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Finding the Fourth Proportional to 20,087.64, 27,686.31 and 13,361.22

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Solution

The fourth proportional to 20,087.64, 27,686.31 and 13,361.22 is: 18,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,087.64 : 27,686.31 = 13,361.22 : x
  2. Step 2: Convert to fraction form
    20,087.64/27,686.31 = 13,361.22/x
  3. Step 3: Cross multiply
    20,087.64x = 27,686.31 × 13,361.22
  4. Step 4: Simplify right side
    20,087.64x = 369,922,878.90
  5. Step 5: Solve for x
    x = 369,922,878.90/20,087.64
  6. Step 6: Final answer
    x = 18,415.45

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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.