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Finding the Fourth Proportional to 12,212.62, 16,854.14 and 6,907.92

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Solution

The fourth proportional to 12,212.62, 16,854.14 and 6,907.92 is: 9,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.62 : 16,854.14 = 6,907.92 : x
  2. Step 2: Convert to fraction form
    12,212.62/16,854.14 = 6,907.92/x
  3. Step 3: Cross multiply
    12,212.62x = 16,854.14 × 6,907.92
  4. Step 4: Simplify right side
    12,212.62x = 116,427,050.79
  5. Step 5: Solve for x
    x = 116,427,050.79/12,212.62
  6. Step 6: Final answer
    x = 9,533.34

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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.