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Finding the Fourth Proportional to 23,774, 32,808.12 and 13,838

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Solution

The fourth proportional to 23,774, 32,808.12 and 13,838 is: 19,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774 : 32,808.12 = 13,838 : x
  2. Step 2: Convert to fraction form
    23,774/32,808.12 = 13,838/x
  3. Step 3: Cross multiply
    23,774x = 32,808.12 × 13,838
  4. Step 4: Simplify right side
    23,774x = 453,998,764.56
  5. Step 5: Solve for x
    x = 453,998,764.56/23,774
  6. Step 6: Final answer
    x = 19,096.44

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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.