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Finding the Fourth Proportional to 18,204.96, 27,302.52 and 7,814.28

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Solution

The fourth proportional to 18,204.96, 27,302.52 and 7,814.28 is: 11,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.96 : 27,302.52 = 7,814.28 : x
  2. Step 2: Convert to fraction form
    18,204.96/27,302.52 = 7,814.28/x
  3. Step 3: Cross multiply
    18,204.96x = 27,302.52 × 7,814.28
  4. Step 4: Simplify right side
    18,204.96x = 213,349,535.99
  5. Step 5: Solve for x
    x = 213,349,535.99/18,204.96
  6. Step 6: Final answer
    x = 11,719.31

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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.