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Finding the Fourth Proportional to 18,204.48, 27,313.92 and 8,964

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Solution

The fourth proportional to 18,204.48, 27,313.92 and 8,964 is: 13,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.48 : 27,313.92 = 8,964 : x
  2. Step 2: Convert to fraction form
    18,204.48/27,313.92 = 8,964/x
  3. Step 3: Cross multiply
    18,204.48x = 27,313.92 × 8,964
  4. Step 4: Simplify right side
    18,204.48x = 244,841,978.88
  5. Step 5: Solve for x
    x = 244,841,978.88/18,204.48
  6. Step 6: Final answer
    x = 13,449.55

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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.