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Finding the Fourth Proportional to 23,057.42, 34,590.75 and 8,267.49

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Solution

The fourth proportional to 23,057.42, 34,590.75 and 8,267.49 is: 12,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.42 : 34,590.75 = 8,267.49 : x
  2. Step 2: Convert to fraction form
    23,057.42/34,590.75 = 8,267.49/x
  3. Step 3: Cross multiply
    23,057.42x = 34,590.75 × 8,267.49
  4. Step 4: Simplify right side
    23,057.42x = 285,978,679.72
  5. Step 5: Solve for x
    x = 285,978,679.72/23,057.42
  6. Step 6: Final answer
    x = 12,402.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.