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Finding the Fourth Proportional to 12,164.23, 16,786.74 and 6,859.18

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Solution

The fourth proportional to 12,164.23, 16,786.74 and 6,859.18 is: 9,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.23 : 16,786.74 = 6,859.18 : x
  2. Step 2: Convert to fraction form
    12,164.23/16,786.74 = 6,859.18/x
  3. Step 3: Cross multiply
    12,164.23x = 16,786.74 × 6,859.18
  4. Step 4: Simplify right side
    12,164.23x = 115,143,271.27
  5. Step 5: Solve for x
    x = 115,143,271.27/12,164.23
  6. Step 6: Final answer
    x = 9,465.73

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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.