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Finding the Fourth Proportional to 12,193.86, 18,291.50 and 3,429.46

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Solution

The fourth proportional to 12,193.86, 18,291.50 and 3,429.46 is: 5,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.86 : 18,291.50 = 3,429.46 : x
  2. Step 2: Convert to fraction form
    12,193.86/18,291.50 = 3,429.46/x
  3. Step 3: Cross multiply
    12,193.86x = 18,291.50 × 3,429.46
  4. Step 4: Simplify right side
    12,193.86x = 62,729,967.59
  5. Step 5: Solve for x
    x = 62,729,967.59/12,193.86
  6. Step 6: Final answer
    x = 5,144.39

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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.