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Finding the Fourth Proportional to 18,267.72, 27,405 and 5,787.24

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Solution

The fourth proportional to 18,267.72, 27,405 and 5,787.24 is: 8,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,267.72 : 27,405 = 5,787.24 : x
  2. Step 2: Convert to fraction form
    18,267.72/27,405 = 5,787.24/x
  3. Step 3: Cross multiply
    18,267.72x = 27,405 × 5,787.24
  4. Step 4: Simplify right side
    18,267.72x = 158,599,312.20
  5. Step 5: Solve for x
    x = 158,599,312.20/18,267.72
  6. Step 6: Final answer
    x = 8,681.94

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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.