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Finding the Fourth Proportional to 12,364.64, 18,546.96 and 3,004.60

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Solution

The fourth proportional to 12,364.64, 18,546.96 and 3,004.60 is: 4,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.64 : 18,546.96 = 3,004.60 : x
  2. Step 2: Convert to fraction form
    12,364.64/18,546.96 = 3,004.60/x
  3. Step 3: Cross multiply
    12,364.64x = 18,546.96 × 3,004.60
  4. Step 4: Simplify right side
    12,364.64x = 55,726,196.02
  5. Step 5: Solve for x
    x = 55,726,196.02/12,364.64
  6. Step 6: Final answer
    x = 4,506.90

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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.