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Finding the Fourth Proportional to 22,162, 30,583.88 and 12,732.24

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Solution

The fourth proportional to 22,162, 30,583.88 and 12,732.24 is: 17,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162 : 30,583.88 = 12,732.24 : x
  2. Step 2: Convert to fraction form
    22,162/30,583.88 = 12,732.24/x
  3. Step 3: Cross multiply
    22,162x = 30,583.88 × 12,732.24
  4. Step 4: Simplify right side
    22,162x = 389,401,300.29
  5. Step 5: Solve for x
    x = 389,401,300.29/22,162
  6. Step 6: Final answer
    x = 17,570.68

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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.