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Finding the Fourth Proportional to 13,749.52, 18,984.20 and 8,451.44

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Solution

The fourth proportional to 13,749.52, 18,984.20 and 8,451.44 is: 11,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.52 : 18,984.20 = 8,451.44 : x
  2. Step 2: Convert to fraction form
    13,749.52/18,984.20 = 8,451.44/x
  3. Step 3: Cross multiply
    13,749.52x = 18,984.20 × 8,451.44
  4. Step 4: Simplify right side
    13,749.52x = 160,443,827.25
  5. Step 5: Solve for x
    x = 160,443,827.25/13,749.52
  6. Step 6: Final answer
    x = 11,669.05

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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.