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Finding the Fourth Proportional to 21,476.38, 32,226.09 and 9,161.50

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Solution

The fourth proportional to 21,476.38, 32,226.09 and 9,161.50 is: 13,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.38 : 32,226.09 = 9,161.50 : x
  2. Step 2: Convert to fraction form
    21,476.38/32,226.09 = 9,161.50/x
  3. Step 3: Cross multiply
    21,476.38x = 32,226.09 × 9,161.50
  4. Step 4: Simplify right side
    21,476.38x = 295,239,323.54
  5. Step 5: Solve for x
    x = 295,239,323.54/21,476.38
  6. Step 6: Final answer
    x = 13,747.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.