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Finding the Fourth Proportional to 16,170.11, 22,314.50 and 9,096.53

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Solution

The fourth proportional to 16,170.11, 22,314.50 and 9,096.53 is: 12,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.11 : 22,314.50 = 9,096.53 : x
  2. Step 2: Convert to fraction form
    16,170.11/22,314.50 = 9,096.53/x
  3. Step 3: Cross multiply
    16,170.11x = 22,314.50 × 9,096.53
  4. Step 4: Simplify right side
    16,170.11x = 202,984,395.74
  5. Step 5: Solve for x
    x = 202,984,395.74/16,170.11
  6. Step 6: Final answer
    x = 12,553.06

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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.