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Finding the Fourth Proportional to 18,572.71, 27,856.23 and 6,094

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Solution

The fourth proportional to 18,572.71, 27,856.23 and 6,094 is: 9,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,572.71 : 27,856.23 = 6,094 : x
  2. Step 2: Convert to fraction form
    18,572.71/27,856.23 = 6,094/x
  3. Step 3: Cross multiply
    18,572.71x = 27,856.23 × 6,094
  4. Step 4: Simplify right side
    18,572.71x = 169,755,865.62
  5. Step 5: Solve for x
    x = 169,755,865.62/18,572.71
  6. Step 6: Final answer
    x = 9,140.07

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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.