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Finding the Fourth Proportional to 18,272.87, 27,409.52 and 6,427

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Solution

The fourth proportional to 18,272.87, 27,409.52 and 6,427 is: 9,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,272.87 : 27,409.52 = 6,427 : x
  2. Step 2: Convert to fraction form
    18,272.87/27,409.52 = 6,427/x
  3. Step 3: Cross multiply
    18,272.87x = 27,409.52 × 6,427
  4. Step 4: Simplify right side
    18,272.87x = 176,160,985.04
  5. Step 5: Solve for x
    x = 176,160,985.04/18,272.87
  6. Step 6: Final answer
    x = 9,640.58

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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.