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Finding the Fourth Proportional to 12,212.11, 16,853.62 and 6,835.09

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Solution

The fourth proportional to 12,212.11, 16,853.62 and 6,835.09 is: 9,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.11 : 16,853.62 = 6,835.09 : x
  2. Step 2: Convert to fraction form
    12,212.11/16,853.62 = 6,835.09/x
  3. Step 3: Cross multiply
    12,212.11x = 16,853.62 × 6,835.09
  4. Step 4: Simplify right side
    12,212.11x = 115,195,925.26
  5. Step 5: Solve for x
    x = 115,195,925.26/12,212.11
  6. Step 6: Final answer
    x = 9,432.93

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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.