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Finding the Fourth Proportional to 14,656.72, 21,976.26 and 9,982.48

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Solution

The fourth proportional to 14,656.72, 21,976.26 and 9,982.48 is: 14,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.72 : 21,976.26 = 9,982.48 : x
  2. Step 2: Convert to fraction form
    14,656.72/21,976.26 = 9,982.48/x
  3. Step 3: Cross multiply
    14,656.72x = 21,976.26 × 9,982.48
  4. Step 4: Simplify right side
    14,656.72x = 219,377,575.92
  5. Step 5: Solve for x
    x = 219,377,575.92/14,656.72
  6. Step 6: Final answer
    x = 14,967.71

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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.