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Finding the Fourth Proportional to 14,757.96, 22,146 and 5,992.96

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Solution

The fourth proportional to 14,757.96, 22,146 and 5,992.96 is: 8,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.96 : 22,146 = 5,992.96 : x
  2. Step 2: Convert to fraction form
    14,757.96/22,146 = 5,992.96/x
  3. Step 3: Cross multiply
    14,757.96x = 22,146 × 5,992.96
  4. Step 4: Simplify right side
    14,757.96x = 132,720,092.16
  5. Step 5: Solve for x
    x = 132,720,092.16/14,757.96
  6. Step 6: Final answer
    x = 8,993.12

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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.