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Finding the Fourth Proportional to 22,384.56, 30,889.17 and 12,954.54

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Solution

The fourth proportional to 22,384.56, 30,889.17 and 12,954.54 is: 17,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.56 : 30,889.17 = 12,954.54 : x
  2. Step 2: Convert to fraction form
    22,384.56/30,889.17 = 12,954.54/x
  3. Step 3: Cross multiply
    22,384.56x = 30,889.17 × 12,954.54
  4. Step 4: Simplify right side
    22,384.56x = 400,154,988.33
  5. Step 5: Solve for x
    x = 400,154,988.33/22,384.56
  6. Step 6: Final answer
    x = 17,876.38

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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.