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Finding the Fourth Proportional to 12,103.90, 18,155.07 and 4,204.54

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Solution

The fourth proportional to 12,103.90, 18,155.07 and 4,204.54 is: 6,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.90 : 18,155.07 = 4,204.54 : x
  2. Step 2: Convert to fraction form
    12,103.90/18,155.07 = 4,204.54/x
  3. Step 3: Cross multiply
    12,103.90x = 18,155.07 × 4,204.54
  4. Step 4: Simplify right side
    12,103.90x = 76,333,718.02
  5. Step 5: Solve for x
    x = 76,333,718.02/12,103.90
  6. Step 6: Final answer
    x = 6,306.54

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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.