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Finding the Fourth Proportional to 23,906.68, 32,968.32 and 15,827.54

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Solution

The fourth proportional to 23,906.68, 32,968.32 and 15,827.54 is: 21,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.68 : 32,968.32 = 15,827.54 : x
  2. Step 2: Convert to fraction form
    23,906.68/32,968.32 = 15,827.54/x
  3. Step 3: Cross multiply
    23,906.68x = 32,968.32 × 15,827.54
  4. Step 4: Simplify right side
    23,906.68x = 521,807,403.53
  5. Step 5: Solve for x
    x = 521,807,403.53/23,906.68
  6. Step 6: Final answer
    x = 21,826.85

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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.