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Finding the Fourth Proportional to 22,167.33, 33,232.03 and 9,678.20

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Solution

The fourth proportional to 22,167.33, 33,232.03 and 9,678.20 is: 14,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,167.33 : 33,232.03 = 9,678.20 : x
  2. Step 2: Convert to fraction form
    22,167.33/33,232.03 = 9,678.20/x
  3. Step 3: Cross multiply
    22,167.33x = 33,232.03 × 9,678.20
  4. Step 4: Simplify right side
    22,167.33x = 321,626,157.17
  5. Step 5: Solve for x
    x = 321,626,157.17/22,167.33
  6. Step 6: Final answer
    x = 14,509.01

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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.