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Finding the Fourth Proportional to 18,086.63, 27,141.48 and 7,698.38

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Solution

The fourth proportional to 18,086.63, 27,141.48 and 7,698.38 is: 11,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,086.63 : 27,141.48 = 7,698.38 : x
  2. Step 2: Convert to fraction form
    18,086.63/27,141.48 = 7,698.38/x
  3. Step 3: Cross multiply
    18,086.63x = 27,141.48 × 7,698.38
  4. Step 4: Simplify right side
    18,086.63x = 208,945,291.10
  5. Step 5: Solve for x
    x = 208,945,291.10/18,086.63
  6. Step 6: Final answer
    x = 11,552.48

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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.