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Finding the Fourth Proportional to 18,241.30, 27,368.79 and 6,395.96

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Solution

The fourth proportional to 18,241.30, 27,368.79 and 6,395.96 is: 9,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,241.30 : 27,368.79 = 6,395.96 : x
  2. Step 2: Convert to fraction form
    18,241.30/27,368.79 = 6,395.96/x
  3. Step 3: Cross multiply
    18,241.30x = 27,368.79 × 6,395.96
  4. Step 4: Simplify right side
    18,241.30x = 175,049,730.53
  5. Step 5: Solve for x
    x = 175,049,730.53/18,241.30
  6. Step 6: Final answer
    x = 9,596.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.