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Finding the Fourth Proportional to 23,834, 32,890.92 and 13,225.34

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Solution

The fourth proportional to 23,834, 32,890.92 and 13,225.34 is: 18,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834 : 32,890.92 = 13,225.34 : x
  2. Step 2: Convert to fraction form
    23,834/32,890.92 = 13,225.34/x
  3. Step 3: Cross multiply
    23,834x = 32,890.92 × 13,225.34
  4. Step 4: Simplify right side
    23,834x = 434,993,599.91
  5. Step 5: Solve for x
    x = 434,993,599.91/23,834
  6. Step 6: Final answer
    x = 18,250.97

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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.