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Finding the Fourth Proportional to 12,212.52, 16,852.14 and 6,907.74

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Solution

The fourth proportional to 12,212.52, 16,852.14 and 6,907.74 is: 9,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.52 : 16,852.14 = 6,907.74 : x
  2. Step 2: Convert to fraction form
    12,212.52/16,852.14 = 6,907.74/x
  3. Step 3: Cross multiply
    12,212.52x = 16,852.14 × 6,907.74
  4. Step 4: Simplify right side
    12,212.52x = 116,410,201.56
  5. Step 5: Solve for x
    x = 116,410,201.56/12,212.52
  6. Step 6: Final answer
    x = 9,532.04

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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.