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Finding the Fourth Proportional to 12,202.96, 16,835.08 and 8,225.35

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Solution

The fourth proportional to 12,202.96, 16,835.08 and 8,225.35 is: 11,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.96 : 16,835.08 = 8,225.35 : x
  2. Step 2: Convert to fraction form
    12,202.96/16,835.08 = 8,225.35/x
  3. Step 3: Cross multiply
    12,202.96x = 16,835.08 × 8,225.35
  4. Step 4: Simplify right side
    12,202.96x = 138,474,425.28
  5. Step 5: Solve for x
    x = 138,474,425.28/12,202.96
  6. Step 6: Final answer
    x = 11,347.61

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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.