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Finding the Fourth Proportional to 12,176.10, 18,227.70 and 11,455.20

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Solution

The fourth proportional to 12,176.10, 18,227.70 and 11,455.20 is: 17,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.10 : 18,227.70 = 11,455.20 : x
  2. Step 2: Convert to fraction form
    12,176.10/18,227.70 = 11,455.20/x
  3. Step 3: Cross multiply
    12,176.10x = 18,227.70 × 11,455.20
  4. Step 4: Simplify right side
    12,176.10x = 208,801,949.04
  5. Step 5: Solve for x
    x = 208,801,949.04/12,176.10
  6. Step 6: Final answer
    x = 17,148.51

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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.