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Finding the Fourth Proportional to 22,896.96, 34,352 and 11,213.60

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Solution

The fourth proportional to 22,896.96, 34,352 and 11,213.60 is: 16,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.96 : 34,352 = 11,213.60 : x
  2. Step 2: Convert to fraction form
    22,896.96/34,352 = 11,213.60/x
  3. Step 3: Cross multiply
    22,896.96x = 34,352 × 11,213.60
  4. Step 4: Simplify right side
    22,896.96x = 385,209,587.20
  5. Step 5: Solve for x
    x = 385,209,587.20/22,896.96
  6. Step 6: Final answer
    x = 16,823.61

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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.