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Finding the Fourth Proportional to 19,689.75, 29,540.34 and 6,362.46

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Solution

The fourth proportional to 19,689.75, 29,540.34 and 6,362.46 is: 9,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.75 : 29,540.34 = 6,362.46 : x
  2. Step 2: Convert to fraction form
    19,689.75/29,540.34 = 6,362.46/x
  3. Step 3: Cross multiply
    19,689.75x = 29,540.34 × 6,362.46
  4. Step 4: Simplify right side
    19,689.75x = 187,949,199.82
  5. Step 5: Solve for x
    x = 187,949,199.82/19,689.75
  6. Step 6: Final answer
    x = 9,545.54

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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.