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Finding the Fourth Proportional to 12,212.50, 16,855.77 and 6,907.54

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Solution

The fourth proportional to 12,212.50, 16,855.77 and 6,907.54 is: 9,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.50 : 16,855.77 = 6,907.54 : x
  2. Step 2: Convert to fraction form
    12,212.50/16,855.77 = 6,907.54/x
  3. Step 3: Cross multiply
    12,212.50x = 16,855.77 × 6,907.54
  4. Step 4: Simplify right side
    12,212.50x = 116,431,905.51
  5. Step 5: Solve for x
    x = 116,431,905.51/12,212.50
  6. Step 6: Final answer
    x = 9,533.83

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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.