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Finding the Fourth Proportional to 12,205.30, 18,286.08 and 11,549.20

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Solution

The fourth proportional to 12,205.30, 18,286.08 and 11,549.20 is: 17,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.30 : 18,286.08 = 11,549.20 : x
  2. Step 2: Convert to fraction form
    12,205.30/18,286.08 = 11,549.20/x
  3. Step 3: Cross multiply
    12,205.30x = 18,286.08 × 11,549.20
  4. Step 4: Simplify right side
    12,205.30x = 211,189,595.14
  5. Step 5: Solve for x
    x = 211,189,595.14/12,205.30
  6. Step 6: Final answer
    x = 17,303.11

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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.