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Finding the Fourth Proportional to 12,212.44, 16,853.16 and 6,907.14

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Solution

The fourth proportional to 12,212.44, 16,853.16 and 6,907.14 is: 9,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.44 : 16,853.16 = 6,907.14 : x
  2. Step 2: Convert to fraction form
    12,212.44/16,853.16 = 6,907.14/x
  3. Step 3: Cross multiply
    12,212.44x = 16,853.16 × 6,907.14
  4. Step 4: Simplify right side
    12,212.44x = 116,407,161.46
  5. Step 5: Solve for x
    x = 116,407,161.46/12,212.44
  6. Step 6: Final answer
    x = 9,531.85

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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.