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Finding the Fourth Proportional to 30,214.86, 41,696.46 and 16,787.34

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Solution

The fourth proportional to 30,214.86, 41,696.46 and 16,787.34 is: 23,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.86 : 41,696.46 = 16,787.34 : x
  2. Step 2: Convert to fraction form
    30,214.86/41,696.46 = 16,787.34/x
  3. Step 3: Cross multiply
    30,214.86x = 41,696.46 × 16,787.34
  4. Step 4: Simplify right side
    30,214.86x = 699,972,650.82
  5. Step 5: Solve for x
    x = 699,972,650.82/30,214.86
  6. Step 6: Final answer
    x = 23,166.50

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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.