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Finding the Fourth Proportional to 18,927.60, 28,391.40 and 7,832.76

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Solution

The fourth proportional to 18,927.60, 28,391.40 and 7,832.76 is: 11,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,927.60 : 28,391.40 = 7,832.76 : x
  2. Step 2: Convert to fraction form
    18,927.60/28,391.40 = 7,832.76/x
  3. Step 3: Cross multiply
    18,927.60x = 28,391.40 × 7,832.76
  4. Step 4: Simplify right side
    18,927.60x = 222,383,022.26
  5. Step 5: Solve for x
    x = 222,383,022.26/18,927.60
  6. Step 6: Final answer
    x = 11,749.14

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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.