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Finding the Fourth Proportional to 16,361.40, 22,578.84 and 9,287.94

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Solution

The fourth proportional to 16,361.40, 22,578.84 and 9,287.94 is: 12,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.40 : 22,578.84 = 9,287.94 : x
  2. Step 2: Convert to fraction form
    16,361.40/22,578.84 = 9,287.94/x
  3. Step 3: Cross multiply
    16,361.40x = 22,578.84 × 9,287.94
  4. Step 4: Simplify right side
    16,361.40x = 209,710,911.19
  5. Step 5: Solve for x
    x = 209,710,911.19/16,361.40
  6. Step 6: Final answer
    x = 12,817.42

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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.