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Finding the Fourth Proportional to 14,641.35, 21,974.37 and 6,327.66

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Solution

The fourth proportional to 14,641.35, 21,974.37 and 6,327.66 is: 9,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.35 : 21,974.37 = 6,327.66 : x
  2. Step 2: Convert to fraction form
    14,641.35/21,974.37 = 6,327.66/x
  3. Step 3: Cross multiply
    14,641.35x = 21,974.37 × 6,327.66
  4. Step 4: Simplify right side
    14,641.35x = 139,046,342.07
  5. Step 5: Solve for x
    x = 139,046,342.07/14,641.35
  6. Step 6: Final answer
    x = 9,496.83

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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.