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Finding the Fourth Proportional to 12,434.60, 18,652.06 and 3,669.64

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Solution

The fourth proportional to 12,434.60, 18,652.06 and 3,669.64 is: 5,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.60 : 18,652.06 = 3,669.64 : x
  2. Step 2: Convert to fraction form
    12,434.60/18,652.06 = 3,669.64/x
  3. Step 3: Cross multiply
    12,434.60x = 18,652.06 × 3,669.64
  4. Step 4: Simplify right side
    12,434.60x = 68,446,345.46
  5. Step 5: Solve for x
    x = 68,446,345.46/12,434.60
  6. Step 6: Final answer
    x = 5,504.51

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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.