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Finding the Fourth Proportional to 21,608.50, 29,822.37 and 12,178.78

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Solution

The fourth proportional to 21,608.50, 29,822.37 and 12,178.78 is: 16,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,608.50 : 29,822.37 = 12,178.78 : x
  2. Step 2: Convert to fraction form
    21,608.50/29,822.37 = 12,178.78/x
  3. Step 3: Cross multiply
    21,608.50x = 29,822.37 × 12,178.78
  4. Step 4: Simplify right side
    21,608.50x = 363,200,083.31
  5. Step 5: Solve for x
    x = 363,200,083.31/21,608.50
  6. Step 6: Final answer
    x = 16,808.20

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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.