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Finding the Fourth Proportional to 13,222.64, 18,244.14 and 9,679.70

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Solution

The fourth proportional to 13,222.64, 18,244.14 and 9,679.70 is: 13,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.64 : 18,244.14 = 9,679.70 : x
  2. Step 2: Convert to fraction form
    13,222.64/18,244.14 = 9,679.70/x
  3. Step 3: Cross multiply
    13,222.64x = 18,244.14 × 9,679.70
  4. Step 4: Simplify right side
    13,222.64x = 176,597,811.27
  5. Step 5: Solve for x
    x = 176,597,811.27/13,222.64
  6. Step 6: Final answer
    x = 13,355.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.