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Finding the Fourth Proportional to 12,185.25, 16,815.65 and 6,596.25

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Solution

The fourth proportional to 12,185.25, 16,815.65 and 6,596.25 is: 9,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.25 : 16,815.65 = 6,596.25 : x
  2. Step 2: Convert to fraction form
    12,185.25/16,815.65 = 6,596.25/x
  3. Step 3: Cross multiply
    12,185.25x = 16,815.65 × 6,596.25
  4. Step 4: Simplify right side
    12,185.25x = 110,920,231.31
  5. Step 5: Solve for x
    x = 110,920,231.31/12,185.25
  6. Step 6: Final answer
    x = 9,102.83

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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.