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Finding the Fourth Proportional to 16,281.38, 22,462.34 and 9,905.36

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Solution

The fourth proportional to 16,281.38, 22,462.34 and 9,905.36 is: 13,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.38 : 22,462.34 = 9,905.36 : x
  2. Step 2: Convert to fraction form
    16,281.38/22,462.34 = 9,905.36/x
  3. Step 3: Cross multiply
    16,281.38x = 22,462.34 × 9,905.36
  4. Step 4: Simplify right side
    16,281.38x = 222,497,564.14
  5. Step 5: Solve for x
    x = 222,497,564.14/16,281.38
  6. Step 6: Final answer
    x = 13,665.77

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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.