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Finding the Fourth Proportional to 12,203.14, 16,840.18 and 7,166.50

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Solution

The fourth proportional to 12,203.14, 16,840.18 and 7,166.50 is: 9,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.14 : 16,840.18 = 7,166.50 : x
  2. Step 2: Convert to fraction form
    12,203.14/16,840.18 = 7,166.50/x
  3. Step 3: Cross multiply
    12,203.14x = 16,840.18 × 7,166.50
  4. Step 4: Simplify right side
    12,203.14x = 120,685,149.97
  5. Step 5: Solve for x
    x = 120,685,149.97/12,203.14
  6. Step 6: Final answer
    x = 9,889.68

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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.