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Finding the Fourth Proportional to 14,200.82, 19,590.15 and 9,163.13

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Solution

The fourth proportional to 14,200.82, 19,590.15 and 9,163.13 is: 12,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.82 : 19,590.15 = 9,163.13 : x
  2. Step 2: Convert to fraction form
    14,200.82/19,590.15 = 9,163.13/x
  3. Step 3: Cross multiply
    14,200.82x = 19,590.15 × 9,163.13
  4. Step 4: Simplify right side
    14,200.82x = 179,507,027.58
  5. Step 5: Solve for x
    x = 179,507,027.58/14,200.82
  6. Step 6: Final answer
    x = 12,640.61

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