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Finding the Fourth Proportional to 23,773.56, 35,663.64 and 8,187

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Solution

The fourth proportional to 23,773.56, 35,663.64 and 8,187 is: 12,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.56 : 35,663.64 = 8,187 : x
  2. Step 2: Convert to fraction form
    23,773.56/35,663.64 = 8,187/x
  3. Step 3: Cross multiply
    23,773.56x = 35,663.64 × 8,187
  4. Step 4: Simplify right side
    23,773.56x = 291,978,220.68
  5. Step 5: Solve for x
    x = 291,978,220.68/23,773.56
  6. Step 6: Final answer
    x = 12,281.64

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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.