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Finding the Fourth Proportional to 12,128.64, 18,166.56 and 7,434.44

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Solution

The fourth proportional to 12,128.64, 18,166.56 and 7,434.44 is: 11,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.64 : 18,166.56 = 7,434.44 : x
  2. Step 2: Convert to fraction form
    12,128.64/18,166.56 = 7,434.44/x
  3. Step 3: Cross multiply
    12,128.64x = 18,166.56 × 7,434.44
  4. Step 4: Simplify right side
    12,128.64x = 135,058,200.33
  5. Step 5: Solve for x
    x = 135,058,200.33/12,128.64
  6. Step 6: Final answer
    x = 11,135.48

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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.