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Finding the Fourth Proportional to 18,564.67, 27,838.50 and 10,241.92

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Solution

The fourth proportional to 18,564.67, 27,838.50 and 10,241.92 is: 15,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.67 : 27,838.50 = 10,241.92 : x
  2. Step 2: Convert to fraction form
    18,564.67/27,838.50 = 10,241.92/x
  3. Step 3: Cross multiply
    18,564.67x = 27,838.50 × 10,241.92
  4. Step 4: Simplify right side
    18,564.67x = 285,119,689.92
  5. Step 5: Solve for x
    x = 285,119,689.92/18,564.67
  6. Step 6: Final answer
    x = 15,358.19

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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.