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Finding the Fourth Proportional to 21,845, 32,767.50 and 7,066.28

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Solution

The fourth proportional to 21,845, 32,767.50 and 7,066.28 is: 10,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,845 : 32,767.50 = 7,066.28 : x
  2. Step 2: Convert to fraction form
    21,845/32,767.50 = 7,066.28/x
  3. Step 3: Cross multiply
    21,845x = 32,767.50 × 7,066.28
  4. Step 4: Simplify right side
    21,845x = 231,544,329.90
  5. Step 5: Solve for x
    x = 231,544,329.90/21,845
  6. Step 6: Final answer
    x = 10,599.42

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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.