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Finding the Fourth Proportional to 12,207.72, 18,311.64 and 3,443.40

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Solution

The fourth proportional to 12,207.72, 18,311.64 and 3,443.40 is: 5,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.72 : 18,311.64 = 3,443.40 : x
  2. Step 2: Convert to fraction form
    12,207.72/18,311.64 = 3,443.40/x
  3. Step 3: Cross multiply
    12,207.72x = 18,311.64 × 3,443.40
  4. Step 4: Simplify right side
    12,207.72x = 63,054,301.18
  5. Step 5: Solve for x
    x = 63,054,301.18/12,207.72
  6. Step 6: Final answer
    x = 5,165.12

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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.