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Finding the Fourth Proportional to 22,157.96, 30,571.22 and 12,597.12

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Solution

The fourth proportional to 22,157.96, 30,571.22 and 12,597.12 is: 17,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157.96 : 30,571.22 = 12,597.12 : x
  2. Step 2: Convert to fraction form
    22,157.96/30,571.22 = 12,597.12/x
  3. Step 3: Cross multiply
    22,157.96x = 30,571.22 × 12,597.12
  4. Step 4: Simplify right side
    22,157.96x = 385,109,358.38
  5. Step 5: Solve for x
    x = 385,109,358.38/22,157.96
  6. Step 6: Final answer
    x = 17,380.19

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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.