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Finding the Fourth Proportional to 16,415.97, 22,633.22 and 12,592.06

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Solution

The fourth proportional to 16,415.97, 22,633.22 and 12,592.06 is: 17,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.97 : 22,633.22 = 12,592.06 : x
  2. Step 2: Convert to fraction form
    16,415.97/22,633.22 = 12,592.06/x
  3. Step 3: Cross multiply
    16,415.97x = 22,633.22 × 12,592.06
  4. Step 4: Simplify right side
    16,415.97x = 284,998,839.13
  5. Step 5: Solve for x
    x = 284,998,839.13/16,415.97
  6. Step 6: Final answer
    x = 17,361.08

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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.