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Finding the Fourth Proportional to 12,143.76, 18,214.28 and 3,259.96

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Solution

The fourth proportional to 12,143.76, 18,214.28 and 3,259.96 is: 4,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.76 : 18,214.28 = 3,259.96 : x
  2. Step 2: Convert to fraction form
    12,143.76/18,214.28 = 3,259.96/x
  3. Step 3: Cross multiply
    12,143.76x = 18,214.28 × 3,259.96
  4. Step 4: Simplify right side
    12,143.76x = 59,377,824.23
  5. Step 5: Solve for x
    x = 59,377,824.23/12,143.76
  6. Step 6: Final answer
    x = 4,889.57

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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.