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Finding the Fourth Proportional to 16,361.74, 22,577.87 and 9,191.26

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Solution

The fourth proportional to 16,361.74, 22,577.87 and 9,191.26 is: 12,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.74 : 22,577.87 = 9,191.26 : x
  2. Step 2: Convert to fraction form
    16,361.74/22,577.87 = 9,191.26/x
  3. Step 3: Cross multiply
    16,361.74x = 22,577.87 × 9,191.26
  4. Step 4: Simplify right side
    16,361.74x = 207,519,115.25
  5. Step 5: Solve for x
    x = 207,519,115.25/16,361.74
  6. Step 6: Final answer
    x = 12,683.20

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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.