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Finding the Fourth Proportional to 18,289.43, 27,434.14 and 5,141.80

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Solution

The fourth proportional to 18,289.43, 27,434.14 and 5,141.80 is: 7,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,289.43 : 27,434.14 = 5,141.80 : x
  2. Step 2: Convert to fraction form
    18,289.43/27,434.14 = 5,141.80/x
  3. Step 3: Cross multiply
    18,289.43x = 27,434.14 × 5,141.80
  4. Step 4: Simplify right side
    18,289.43x = 141,060,861.05
  5. Step 5: Solve for x
    x = 141,060,861.05/18,289.43
  6. Step 6: Final answer
    x = 7,712.70

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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.