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Finding the Fourth Proportional to 18,552.61, 27,832.56 and 6,865.93

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Solution

The fourth proportional to 18,552.61, 27,832.56 and 6,865.93 is: 10,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,552.61 : 27,832.56 = 6,865.93 : x
  2. Step 2: Convert to fraction form
    18,552.61/27,832.56 = 6,865.93/x
  3. Step 3: Cross multiply
    18,552.61x = 27,832.56 × 6,865.93
  4. Step 4: Simplify right side
    18,552.61x = 191,096,408.68
  5. Step 5: Solve for x
    x = 191,096,408.68/18,552.61
  6. Step 6: Final answer
    x = 10,300.24

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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.