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Finding the Fourth Proportional to 22,448.12, 33,669.54 and 6,865.88

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Solution

The fourth proportional to 22,448.12, 33,669.54 and 6,865.88 is: 10,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.12 : 33,669.54 = 6,865.88 : x
  2. Step 2: Convert to fraction form
    22,448.12/33,669.54 = 6,865.88/x
  3. Step 3: Cross multiply
    22,448.12x = 33,669.54 × 6,865.88
  4. Step 4: Simplify right side
    22,448.12x = 231,171,021.30
  5. Step 5: Solve for x
    x = 231,171,021.30/22,448.12
  6. Step 6: Final answer
    x = 10,298.01

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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.