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Finding the Fourth Proportional to 22,986.42, 34,459.87 and 7,991.57

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Solution

The fourth proportional to 22,986.42, 34,459.87 and 7,991.57 is: 11,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.42 : 34,459.87 = 7,991.57 : x
  2. Step 2: Convert to fraction form
    22,986.42/34,459.87 = 7,991.57/x
  3. Step 3: Cross multiply
    22,986.42x = 34,459.87 × 7,991.57
  4. Step 4: Simplify right side
    22,986.42x = 275,388,463.30
  5. Step 5: Solve for x
    x = 275,388,463.30/22,986.42
  6. Step 6: Final answer
    x = 11,980.49

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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.