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Finding the Fourth Proportional to 14,694.77, 22,042.62 and 4,832.93

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Solution

The fourth proportional to 14,694.77, 22,042.62 and 4,832.93 is: 7,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694.77 : 22,042.62 = 4,832.93 : x
  2. Step 2: Convert to fraction form
    14,694.77/22,042.62 = 4,832.93/x
  3. Step 3: Cross multiply
    14,694.77x = 22,042.62 × 4,832.93
  4. Step 4: Simplify right side
    14,694.77x = 106,530,329.26
  5. Step 5: Solve for x
    x = 106,530,329.26/14,694.77
  6. Step 6: Final answer
    x = 7,249.54

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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.