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Finding the Fourth Proportional to 22,162, 30,581.16 and 12,731.92

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Solution

The fourth proportional to 22,162, 30,581.16 and 12,731.92 is: 17,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162 : 30,581.16 = 12,731.92 : x
  2. Step 2: Convert to fraction form
    22,162/30,581.16 = 12,731.92/x
  3. Step 3: Cross multiply
    22,162x = 30,581.16 × 12,731.92
  4. Step 4: Simplify right side
    22,162x = 389,356,882.63
  5. Step 5: Solve for x
    x = 389,356,882.63/22,162
  6. Step 6: Final answer
    x = 17,568.67

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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.