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Finding the Fourth Proportional to 12,322.80, 18,484.20 and 9,224.55

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Solution

The fourth proportional to 12,322.80, 18,484.20 and 9,224.55 is: 13,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.80 : 18,484.20 = 9,224.55 : x
  2. Step 2: Convert to fraction form
    12,322.80/18,484.20 = 9,224.55/x
  3. Step 3: Cross multiply
    12,322.80x = 18,484.20 × 9,224.55
  4. Step 4: Simplify right side
    12,322.80x = 170,508,427.11
  5. Step 5: Solve for x
    x = 170,508,427.11/12,322.80
  6. Step 6: Final answer
    x = 13,836.83

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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.