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Finding the Fourth Proportional to 14,667.82, 20,241.38 and 7,953.32

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Solution

The fourth proportional to 14,667.82, 20,241.38 and 7,953.32 is: 10,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.82 : 20,241.38 = 7,953.32 : x
  2. Step 2: Convert to fraction form
    14,667.82/20,241.38 = 7,953.32/x
  3. Step 3: Cross multiply
    14,667.82x = 20,241.38 × 7,953.32
  4. Step 4: Simplify right side
    14,667.82x = 160,986,172.38
  5. Step 5: Solve for x
    x = 160,986,172.38/14,667.82
  6. Step 6: Final answer
    x = 10,975.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.