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Finding the Fourth Proportional to 16,017.12, 22,102.56 and 8,942.16

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Solution

The fourth proportional to 16,017.12, 22,102.56 and 8,942.16 is: 12,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.12 : 22,102.56 = 8,942.16 : x
  2. Step 2: Convert to fraction form
    16,017.12/22,102.56 = 8,942.16/x
  3. Step 3: Cross multiply
    16,017.12x = 22,102.56 × 8,942.16
  4. Step 4: Simplify right side
    16,017.12x = 197,644,627.93
  5. Step 5: Solve for x
    x = 197,644,627.93/16,017.12
  6. Step 6: Final answer
    x = 12,339.59

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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.