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Finding the Fourth Proportional to 16,172.64, 22,318.29 and 9,099.18

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Solution

The fourth proportional to 16,172.64, 22,318.29 and 9,099.18 is: 12,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.64 : 22,318.29 = 9,099.18 : x
  2. Step 2: Convert to fraction form
    16,172.64/22,318.29 = 9,099.18/x
  3. Step 3: Cross multiply
    16,172.64x = 22,318.29 × 9,099.18
  4. Step 4: Simplify right side
    16,172.64x = 203,078,138.00
  5. Step 5: Solve for x
    x = 203,078,138.00/16,172.64
  6. Step 6: Final answer
    x = 12,556.89

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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.