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Finding the Fourth Proportional to 13,984.56, 20,965.86 and 5,214.69

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Solution

The fourth proportional to 13,984.56, 20,965.86 and 5,214.69 is: 7,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.56 : 20,965.86 = 5,214.69 : x
  2. Step 2: Convert to fraction form
    13,984.56/20,965.86 = 5,214.69/x
  3. Step 3: Cross multiply
    13,984.56x = 20,965.86 × 5,214.69
  4. Step 4: Simplify right side
    13,984.56x = 109,330,460.48
  5. Step 5: Solve for x
    x = 109,330,460.48/13,984.56
  6. Step 6: Final answer
    x = 7,817.94

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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.