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Finding the Fourth Proportional to 12,185.13, 16,811.94 and 7,651.56

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Solution

The fourth proportional to 12,185.13, 16,811.94 and 7,651.56 is: 10,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.13 : 16,811.94 = 7,651.56 : x
  2. Step 2: Convert to fraction form
    12,185.13/16,811.94 = 7,651.56/x
  3. Step 3: Cross multiply
    12,185.13x = 16,811.94 × 7,651.56
  4. Step 4: Simplify right side
    12,185.13x = 128,637,529.37
  5. Step 5: Solve for x
    x = 128,637,529.37/12,185.13
  6. Step 6: Final answer
    x = 10,556.93

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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.