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Finding the Fourth Proportional to 12,202.34, 16,836.40 and 7,166.30

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Solution

The fourth proportional to 12,202.34, 16,836.40 and 7,166.30 is: 9,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.34 : 16,836.40 = 7,166.30 : x
  2. Step 2: Convert to fraction form
    12,202.34/16,836.40 = 7,166.30/x
  3. Step 3: Cross multiply
    12,202.34x = 16,836.40 × 7,166.30
  4. Step 4: Simplify right side
    12,202.34x = 120,654,693.32
  5. Step 5: Solve for x
    x = 120,654,693.32/12,202.34
  6. Step 6: Final answer
    x = 9,887.83

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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.