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Finding the Fourth Proportional to 12,205.76, 16,843.29 and 6,900.26

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Solution

The fourth proportional to 12,205.76, 16,843.29 and 6,900.26 is: 9,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.76 : 16,843.29 = 6,900.26 : x
  2. Step 2: Convert to fraction form
    12,205.76/16,843.29 = 6,900.26/x
  3. Step 3: Cross multiply
    12,205.76x = 16,843.29 × 6,900.26
  4. Step 4: Simplify right side
    12,205.76x = 116,223,080.26
  5. Step 5: Solve for x
    x = 116,223,080.26/12,205.76
  6. Step 6: Final answer
    x = 9,521.99

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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.