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Finding the Fourth Proportional to 16,581, 22,901.22 and 10,982.28

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Solution

The fourth proportional to 16,581, 22,901.22 and 10,982.28 is: 15,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581 : 22,901.22 = 10,982.28 : x
  2. Step 2: Convert to fraction form
    16,581/22,901.22 = 10,982.28/x
  3. Step 3: Cross multiply
    16,581x = 22,901.22 × 10,982.28
  4. Step 4: Simplify right side
    16,581x = 251,507,610.38
  5. Step 5: Solve for x
    x = 251,507,610.38/16,581
  6. Step 6: Final answer
    x = 15,168.42

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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.