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Finding the Fourth Proportional to 13,982.96, 20,965.40 and 7,412.24

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Solution

The fourth proportional to 13,982.96, 20,965.40 and 7,412.24 is: 11,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.96 : 20,965.40 = 7,412.24 : x
  2. Step 2: Convert to fraction form
    13,982.96/20,965.40 = 7,412.24/x
  3. Step 3: Cross multiply
    13,982.96x = 20,965.40 × 7,412.24
  4. Step 4: Simplify right side
    13,982.96x = 155,400,576.50
  5. Step 5: Solve for x
    x = 155,400,576.50/13,982.96
  6. Step 6: Final answer
    x = 11,113.57

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Why These Related Problems?

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