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Finding the Fourth Proportional to 22,463.97, 33,677.67 and 8,416.14

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Solution

The fourth proportional to 22,463.97, 33,677.67 and 8,416.14 is: 12,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.97 : 33,677.67 = 8,416.14 : x
  2. Step 2: Convert to fraction form
    22,463.97/33,677.67 = 8,416.14/x
  3. Step 3: Cross multiply
    22,463.97x = 33,677.67 × 8,416.14
  4. Step 4: Simplify right side
    22,463.97x = 283,435,985.59
  5. Step 5: Solve for x
    x = 283,435,985.59/22,463.97
  6. Step 6: Final answer
    x = 12,617.36

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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.