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Finding the Fourth Proportional to 18,123.72, 27,184.32 and 6,435.24

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Solution

The fourth proportional to 18,123.72, 27,184.32 and 6,435.24 is: 9,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123.72 : 27,184.32 = 6,435.24 : x
  2. Step 2: Convert to fraction form
    18,123.72/27,184.32 = 6,435.24/x
  3. Step 3: Cross multiply
    18,123.72x = 27,184.32 × 6,435.24
  4. Step 4: Simplify right side
    18,123.72x = 174,937,623.44
  5. Step 5: Solve for x
    x = 174,937,623.44/18,123.72
  6. Step 6: Final answer
    x = 9,652.41

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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.