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Finding the Fourth Proportional to 12,152.64, 18,229.68 and 3,269.28

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Solution

The fourth proportional to 12,152.64, 18,229.68 and 3,269.28 is: 4,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.64 : 18,229.68 = 3,269.28 : x
  2. Step 2: Convert to fraction form
    12,152.64/18,229.68 = 3,269.28/x
  3. Step 3: Cross multiply
    12,152.64x = 18,229.68 × 3,269.28
  4. Step 4: Simplify right side
    12,152.64x = 59,597,928.23
  5. Step 5: Solve for x
    x = 59,597,928.23/12,152.64
  6. Step 6: Final answer
    x = 4,904.11

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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.