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Finding the Fourth Proportional to 12,101.90, 18,143.84 and 5,083.96

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Solution

The fourth proportional to 12,101.90, 18,143.84 and 5,083.96 is: 7,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.90 : 18,143.84 = 5,083.96 : x
  2. Step 2: Convert to fraction form
    12,101.90/18,143.84 = 5,083.96/x
  3. Step 3: Cross multiply
    12,101.90x = 18,143.84 × 5,083.96
  4. Step 4: Simplify right side
    12,101.90x = 92,242,556.81
  5. Step 5: Solve for x
    x = 92,242,556.81/12,101.90
  6. Step 6: Final answer
    x = 7,622.15

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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.