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Finding the Fourth Proportional to 12,298.38, 18,447.64 and 3,064.38

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Solution

The fourth proportional to 12,298.38, 18,447.64 and 3,064.38 is: 4,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.38 : 18,447.64 = 3,064.38 : x
  2. Step 2: Convert to fraction form
    12,298.38/18,447.64 = 3,064.38/x
  3. Step 3: Cross multiply
    12,298.38x = 18,447.64 × 3,064.38
  4. Step 4: Simplify right side
    12,298.38x = 56,530,579.06
  5. Step 5: Solve for x
    x = 56,530,579.06/12,298.38
  6. Step 6: Final answer
    x = 4,596.59

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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.