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Finding the Fourth Proportional to 14,166.96, 19,550.38 and 7,793.66

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Solution

The fourth proportional to 14,166.96, 19,550.38 and 7,793.66 is: 10,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.96 : 19,550.38 = 7,793.66 : x
  2. Step 2: Convert to fraction form
    14,166.96/19,550.38 = 7,793.66/x
  3. Step 3: Cross multiply
    14,166.96x = 19,550.38 × 7,793.66
  4. Step 4: Simplify right side
    14,166.96x = 152,369,014.59
  5. Step 5: Solve for x
    x = 152,369,014.59/14,166.96
  6. Step 6: Final answer
    x = 10,755.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.