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Finding the Fourth Proportional to 14,072.81, 21,109.22 and 5,305.68

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Solution

The fourth proportional to 14,072.81, 21,109.22 and 5,305.68 is: 7,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.81 : 21,109.22 = 5,305.68 : x
  2. Step 2: Convert to fraction form
    14,072.81/21,109.22 = 5,305.68/x
  3. Step 3: Cross multiply
    14,072.81x = 21,109.22 × 5,305.68
  4. Step 4: Simplify right side
    14,072.81x = 111,998,739.84
  5. Step 5: Solve for x
    x = 111,998,739.84/14,072.81
  6. Step 6: Final answer
    x = 7,958.52

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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.