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Finding the Fourth Proportional to 14,164.83, 21,249.78 and 5,840.22

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Solution

The fourth proportional to 14,164.83, 21,249.78 and 5,840.22 is: 8,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.83 : 21,249.78 = 5,840.22 : x
  2. Step 2: Convert to fraction form
    14,164.83/21,249.78 = 5,840.22/x
  3. Step 3: Cross multiply
    14,164.83x = 21,249.78 × 5,840.22
  4. Step 4: Simplify right side
    14,164.83x = 124,103,390.15
  5. Step 5: Solve for x
    x = 124,103,390.15/14,164.83
  6. Step 6: Final answer
    x = 8,761.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.