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Finding the Fourth Proportional to 12,196.58, 16,830.59 and 6,891.48

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Solution

The fourth proportional to 12,196.58, 16,830.59 and 6,891.48 is: 9,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.58 : 16,830.59 = 6,891.48 : x
  2. Step 2: Convert to fraction form
    12,196.58/16,830.59 = 6,891.48/x
  3. Step 3: Cross multiply
    12,196.58x = 16,830.59 × 6,891.48
  4. Step 4: Simplify right side
    12,196.58x = 115,987,639.92
  5. Step 5: Solve for x
    x = 115,987,639.92/12,196.58
  6. Step 6: Final answer
    x = 9,509.85

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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.