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Finding the Fourth Proportional to 12,135.21, 16,749.75 and 7,423.44

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Solution

The fourth proportional to 12,135.21, 16,749.75 and 7,423.44 is: 10,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.21 : 16,749.75 = 7,423.44 : x
  2. Step 2: Convert to fraction form
    12,135.21/16,749.75 = 7,423.44/x
  3. Step 3: Cross multiply
    12,135.21x = 16,749.75 × 7,423.44
  4. Step 4: Simplify right side
    12,135.21x = 124,340,764.14
  5. Step 5: Solve for x
    x = 124,340,764.14/12,135.21
  6. Step 6: Final answer
    x = 10,246.28

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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.