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Finding the Fourth Proportional to 22,142.92, 30,560.58 and 13,762.12

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Solution

The fourth proportional to 22,142.92, 30,560.58 and 13,762.12 is: 18,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.92 : 30,560.58 = 13,762.12 : x
  2. Step 2: Convert to fraction form
    22,142.92/30,560.58 = 13,762.12/x
  3. Step 3: Cross multiply
    22,142.92x = 30,560.58 × 13,762.12
  4. Step 4: Simplify right side
    22,142.92x = 420,578,369.23
  5. Step 5: Solve for x
    x = 420,578,369.23/22,142.92
  6. Step 6: Final answer
    x = 18,993.81

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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.