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Finding the Fourth Proportional to 22,202.43, 30,638.77 and 12,130.57

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Solution

The fourth proportional to 22,202.43, 30,638.77 and 12,130.57 is: 16,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.43 : 30,638.77 = 12,130.57 : x
  2. Step 2: Convert to fraction form
    22,202.43/30,638.77 = 12,130.57/x
  3. Step 3: Cross multiply
    22,202.43x = 30,638.77 × 12,130.57
  4. Step 4: Simplify right side
    22,202.43x = 371,665,744.20
  5. Step 5: Solve for x
    x = 371,665,744.20/22,202.43
  6. Step 6: Final answer
    x = 16,739.87

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