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Finding the Fourth Proportional to 13,749.44, 18,972 and 8,442.56

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Solution

The fourth proportional to 13,749.44, 18,972 and 8,442.56 is: 11,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.44 : 18,972 = 8,442.56 : x
  2. Step 2: Convert to fraction form
    13,749.44/18,972 = 8,442.56/x
  3. Step 3: Cross multiply
    13,749.44x = 18,972 × 8,442.56
  4. Step 4: Simplify right side
    13,749.44x = 160,172,248.32
  5. Step 5: Solve for x
    x = 160,172,248.32/13,749.44
  6. Step 6: Final answer
    x = 11,649.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.