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Finding the Fourth Proportional to 17,924.12, 24,728.17 and 10,369.05

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Solution

The fourth proportional to 17,924.12, 24,728.17 and 10,369.05 is: 14,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.12 : 24,728.17 = 10,369.05 : x
  2. Step 2: Convert to fraction form
    17,924.12/24,728.17 = 10,369.05/x
  3. Step 3: Cross multiply
    17,924.12x = 24,728.17 × 10,369.05
  4. Step 4: Simplify right side
    17,924.12x = 256,407,631.14
  5. Step 5: Solve for x
    x = 256,407,631.14/17,924.12
  6. Step 6: Final answer
    x = 14,305.17

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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.