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Finding the Fourth Proportional to 18,178.10, 27,261.86 and 7,082.30

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Solution

The fourth proportional to 18,178.10, 27,261.86 and 7,082.30 is: 10,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,178.10 : 27,261.86 = 7,082.30 : x
  2. Step 2: Convert to fraction form
    18,178.10/27,261.86 = 7,082.30/x
  3. Step 3: Cross multiply
    18,178.10x = 27,261.86 × 7,082.30
  4. Step 4: Simplify right side
    18,178.10x = 193,076,671.08
  5. Step 5: Solve for x
    x = 193,076,671.08/18,178.10
  6. Step 6: Final answer
    x = 10,621.39

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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.