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Finding the Fourth Proportional to 12,205.58, 16,843.61 and 6,900.39

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Solution

The fourth proportional to 12,205.58, 16,843.61 and 6,900.39 is: 9,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.58 : 16,843.61 = 6,900.39 : x
  2. Step 2: Convert to fraction form
    12,205.58/16,843.61 = 6,900.39/x
  3. Step 3: Cross multiply
    12,205.58x = 16,843.61 × 6,900.39
  4. Step 4: Simplify right side
    12,205.58x = 116,227,443.51
  5. Step 5: Solve for x
    x = 116,227,443.51/12,205.58
  6. Step 6: Final answer
    x = 9,522.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.