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Finding the Fourth Proportional to 19,906.18, 29,864.73 and 15,760

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Solution

The fourth proportional to 19,906.18, 29,864.73 and 15,760 is: 23,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.18 : 29,864.73 = 15,760 : x
  2. Step 2: Convert to fraction form
    19,906.18/29,864.73 = 15,760/x
  3. Step 3: Cross multiply
    19,906.18x = 29,864.73 × 15,760
  4. Step 4: Simplify right side
    19,906.18x = 470,668,144.80
  5. Step 5: Solve for x
    x = 470,668,144.80/19,906.18
  6. Step 6: Final answer
    x = 23,644.32

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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.