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Finding the Fourth Proportional to 12,185.46, 16,815.96 and 6,596.46

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Solution

The fourth proportional to 12,185.46, 16,815.96 and 6,596.46 is: 9,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.46 : 16,815.96 = 6,596.46 : x
  2. Step 2: Convert to fraction form
    12,185.46/16,815.96 = 6,596.46/x
  3. Step 3: Cross multiply
    12,185.46x = 16,815.96 × 6,596.46
  4. Step 4: Simplify right side
    12,185.46x = 110,925,807.50
  5. Step 5: Solve for x
    x = 110,925,807.50/12,185.46
  6. Step 6: Final answer
    x = 9,103.13

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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.