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Finding the Fourth Proportional to 12,201.98, 18,302.87 and 3,436.70

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Solution

The fourth proportional to 12,201.98, 18,302.87 and 3,436.70 is: 5,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.98 : 18,302.87 = 3,436.70 : x
  2. Step 2: Convert to fraction form
    12,201.98/18,302.87 = 3,436.70/x
  3. Step 3: Cross multiply
    12,201.98x = 18,302.87 × 3,436.70
  4. Step 4: Simplify right side
    12,201.98x = 62,901,390.41
  5. Step 5: Solve for x
    x = 62,901,390.41/12,201.98
  6. Step 6: Final answer
    x = 5,155.02

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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.