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Finding the Fourth Proportional to 17,924.72, 24,736.93 and 9,967.68

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Solution

The fourth proportional to 17,924.72, 24,736.93 and 9,967.68 is: 13,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.72 : 24,736.93 = 9,967.68 : x
  2. Step 2: Convert to fraction form
    17,924.72/24,736.93 = 9,967.68/x
  3. Step 3: Cross multiply
    17,924.72x = 24,736.93 × 9,967.68
  4. Step 4: Simplify right side
    17,924.72x = 246,569,777.50
  5. Step 5: Solve for x
    x = 246,569,777.50/17,924.72
  6. Step 6: Final answer
    x = 13,755.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.