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Finding the Fourth Proportional to 12,209.96, 18,322.46 and 4,813.16

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Solution

The fourth proportional to 12,209.96, 18,322.46 and 4,813.16 is: 7,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.96 : 18,322.46 = 4,813.16 : x
  2. Step 2: Convert to fraction form
    12,209.96/18,322.46 = 4,813.16/x
  3. Step 3: Cross multiply
    12,209.96x = 18,322.46 × 4,813.16
  4. Step 4: Simplify right side
    12,209.96x = 88,188,931.57
  5. Step 5: Solve for x
    x = 88,188,931.57/12,209.96
  6. Step 6: Final answer
    x = 7,222.70

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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.