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Finding the Fourth Proportional to 17,834, 24,612.60 and 10,280.48

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Solution

The fourth proportional to 17,834, 24,612.60 and 10,280.48 is: 14,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834 : 24,612.60 = 10,280.48 : x
  2. Step 2: Convert to fraction form
    17,834/24,612.60 = 10,280.48/x
  3. Step 3: Cross multiply
    17,834x = 24,612.60 × 10,280.48
  4. Step 4: Simplify right side
    17,834x = 253,029,342.05
  5. Step 5: Solve for x
    x = 253,029,342.05/17,834
  6. Step 6: Final answer
    x = 14,188.03

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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.