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Finding the Fourth Proportional to 18,580.32, 27,865.44 and 7,486.56

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Solution

The fourth proportional to 18,580.32, 27,865.44 and 7,486.56 is: 11,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.32 : 27,865.44 = 7,486.56 : x
  2. Step 2: Convert to fraction form
    18,580.32/27,865.44 = 7,486.56/x
  3. Step 3: Cross multiply
    18,580.32x = 27,865.44 × 7,486.56
  4. Step 4: Simplify right side
    18,580.32x = 208,616,288.49
  5. Step 5: Solve for x
    x = 208,616,288.49/18,580.32
  6. Step 6: Final answer
    x = 11,227.81

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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.