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Finding the Fourth Proportional to 14,822.25, 20,452.19 and 9,157.92

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Solution

The fourth proportional to 14,822.25, 20,452.19 and 9,157.92 is: 12,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.25 : 20,452.19 = 9,157.92 : x
  2. Step 2: Convert to fraction form
    14,822.25/20,452.19 = 9,157.92/x
  3. Step 3: Cross multiply
    14,822.25x = 20,452.19 × 9,157.92
  4. Step 4: Simplify right side
    14,822.25x = 187,299,519.84
  5. Step 5: Solve for x
    x = 187,299,519.84/14,822.25
  6. Step 6: Final answer
    x = 12,636.38

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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.