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Finding the Fourth Proportional to 12,992.24, 19,489.20 and 4,227.20

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Solution

The fourth proportional to 12,992.24, 19,489.20 and 4,227.20 is: 6,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.24 : 19,489.20 = 4,227.20 : x
  2. Step 2: Convert to fraction form
    12,992.24/19,489.20 = 4,227.20/x
  3. Step 3: Cross multiply
    12,992.24x = 19,489.20 × 4,227.20
  4. Step 4: Simplify right side
    12,992.24x = 82,384,746.24
  5. Step 5: Solve for x
    x = 82,384,746.24/12,992.24
  6. Step 6: Final answer
    x = 6,341.07

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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.