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Finding the Fourth Proportional to 18,232.86, 27,348.75 and 7,558.14

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Solution

The fourth proportional to 18,232.86, 27,348.75 and 7,558.14 is: 11,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232.86 : 27,348.75 = 7,558.14 : x
  2. Step 2: Convert to fraction form
    18,232.86/27,348.75 = 7,558.14/x
  3. Step 3: Cross multiply
    18,232.86x = 27,348.75 × 7,558.14
  4. Step 4: Simplify right side
    18,232.86x = 206,705,681.33
  5. Step 5: Solve for x
    x = 206,705,681.33/18,232.86
  6. Step 6: Final answer
    x = 11,336.99

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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.