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Finding the Fourth Proportional to 12,200.34, 16,835.53 and 6,822.75

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Solution

The fourth proportional to 12,200.34, 16,835.53 and 6,822.75 is: 9,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.34 : 16,835.53 = 6,822.75 : x
  2. Step 2: Convert to fraction form
    12,200.34/16,835.53 = 6,822.75/x
  3. Step 3: Cross multiply
    12,200.34x = 16,835.53 × 6,822.75
  4. Step 4: Simplify right side
    12,200.34x = 114,864,612.31
  5. Step 5: Solve for x
    x = 114,864,612.31/12,200.34
  6. Step 6: Final answer
    x = 9,414.87

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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.