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Finding the Fourth Proportional to 16,361.34, 22,578.64 and 9,287.76

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Solution

The fourth proportional to 16,361.34, 22,578.64 and 9,287.76 is: 12,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.34 : 22,578.64 = 9,287.76 : x
  2. Step 2: Convert to fraction form
    16,361.34/22,578.64 = 9,287.76/x
  3. Step 3: Cross multiply
    16,361.34x = 22,578.64 × 9,287.76
  4. Step 4: Simplify right side
    16,361.34x = 209,705,067.22
  5. Step 5: Solve for x
    x = 209,705,067.22/16,361.34
  6. Step 6: Final answer
    x = 12,817.11

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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.