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Finding the Fourth Proportional to 22,647.66, 33,974.73 and 7,066.50

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Solution

The fourth proportional to 22,647.66, 33,974.73 and 7,066.50 is: 10,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.66 : 33,974.73 = 7,066.50 : x
  2. Step 2: Convert to fraction form
    22,647.66/33,974.73 = 7,066.50/x
  3. Step 3: Cross multiply
    22,647.66x = 33,974.73 × 7,066.50
  4. Step 4: Simplify right side
    22,647.66x = 240,082,429.55
  5. Step 5: Solve for x
    x = 240,082,429.55/22,647.66
  6. Step 6: Final answer
    x = 10,600.76

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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.