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Finding the Fourth Proportional to 12,138.48, 16,749.18 and 6,832.26

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Solution

The fourth proportional to 12,138.48, 16,749.18 and 6,832.26 is: 9,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.48 : 16,749.18 = 6,832.26 : x
  2. Step 2: Convert to fraction form
    12,138.48/16,749.18 = 6,832.26/x
  3. Step 3: Cross multiply
    12,138.48x = 16,749.18 × 6,832.26
  4. Step 4: Simplify right side
    12,138.48x = 114,434,752.55
  5. Step 5: Solve for x
    x = 114,434,752.55/12,138.48
  6. Step 6: Final answer
    x = 9,427.44

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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.