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Finding the Fourth Proportional to 12,381.57, 18,572.30 and 4,382.27

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Solution

The fourth proportional to 12,381.57, 18,572.30 and 4,382.27 is: 6,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.57 : 18,572.30 = 4,382.27 : x
  2. Step 2: Convert to fraction form
    12,381.57/18,572.30 = 4,382.27/x
  3. Step 3: Cross multiply
    12,381.57x = 18,572.30 × 4,382.27
  4. Step 4: Simplify right side
    12,381.57x = 81,388,718.35
  5. Step 5: Solve for x
    x = 81,388,718.35/12,381.57
  6. Step 6: Final answer
    x = 6,573.38

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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.