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Finding the Fourth Proportional to 12,209.59, 16,843.91 and 7,164.91

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Solution

The fourth proportional to 12,209.59, 16,843.91 and 7,164.91 is: 9,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.59 : 16,843.91 = 7,164.91 : x
  2. Step 2: Convert to fraction form
    12,209.59/16,843.91 = 7,164.91/x
  3. Step 3: Cross multiply
    12,209.59x = 16,843.91 × 7,164.91
  4. Step 4: Simplify right side
    12,209.59x = 120,685,063.37
  5. Step 5: Solve for x
    x = 120,685,063.37/12,209.59
  6. Step 6: Final answer
    x = 9,884.45

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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.