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Finding the Fourth Proportional to 18,002.10, 27,017.60 and 8,142.24

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Solution

The fourth proportional to 18,002.10, 27,017.60 and 8,142.24 is: 12,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002.10 : 27,017.60 = 8,142.24 : x
  2. Step 2: Convert to fraction form
    18,002.10/27,017.60 = 8,142.24/x
  3. Step 3: Cross multiply
    18,002.10x = 27,017.60 × 8,142.24
  4. Step 4: Simplify right side
    18,002.10x = 219,983,783.42
  5. Step 5: Solve for x
    x = 219,983,783.42/18,002.10
  6. Step 6: Final answer
    x = 12,219.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.