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Finding the Fourth Proportional to 12,322.24, 18,494.72 and 8,815.68

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Solution

The fourth proportional to 12,322.24, 18,494.72 and 8,815.68 is: 13,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.24 : 18,494.72 = 8,815.68 : x
  2. Step 2: Convert to fraction form
    12,322.24/18,494.72 = 8,815.68/x
  3. Step 3: Cross multiply
    12,322.24x = 18,494.72 × 8,815.68
  4. Step 4: Simplify right side
    12,322.24x = 163,043,533.21
  5. Step 5: Solve for x
    x = 163,043,533.21/12,322.24
  6. Step 6: Final answer
    x = 13,231.65

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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.