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Finding the Fourth Proportional to 12,229.01, 18,346.60 and 3,464.00

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Solution

The fourth proportional to 12,229.01, 18,346.60 and 3,464.00 is: 5,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.01 : 18,346.60 = 3,464.00 : x
  2. Step 2: Convert to fraction form
    12,229.01/18,346.60 = 3,464.00/x
  3. Step 3: Cross multiply
    12,229.01x = 18,346.60 × 3,464.00
  4. Step 4: Simplify right side
    12,229.01x = 63,552,603.80
  5. Step 5: Solve for x
    x = 63,552,603.80/12,229.01
  6. Step 6: Final answer
    x = 5,196.87

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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.