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Finding the Fourth Proportional to 18,198, 27,301.32 and 5,886

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Solution

The fourth proportional to 18,198, 27,301.32 and 5,886 is: 8,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,198 : 27,301.32 = 5,886 : x
  2. Step 2: Convert to fraction form
    18,198/27,301.32 = 5,886/x
  3. Step 3: Cross multiply
    18,198x = 27,301.32 × 5,886
  4. Step 4: Simplify right side
    18,198x = 160,695,569.52
  5. Step 5: Solve for x
    x = 160,695,569.52/18,198
  6. Step 6: Final answer
    x = 8,830.40

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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.