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Finding the Fourth Proportional to 12,534.90, 18,801.81 and 5,137.44

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Solution

The fourth proportional to 12,534.90, 18,801.81 and 5,137.44 is: 7,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.90 : 18,801.81 = 5,137.44 : x
  2. Step 2: Convert to fraction form
    12,534.90/18,801.81 = 5,137.44/x
  3. Step 3: Cross multiply
    12,534.90x = 18,801.81 × 5,137.44
  4. Step 4: Simplify right side
    12,534.90x = 96,593,170.77
  5. Step 5: Solve for x
    x = 96,593,170.77/12,534.90
  6. Step 6: Final answer
    x = 7,705.94

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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.