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Finding the Fourth Proportional to 12,150.50, 16,767.69 and 6,561.50

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Solution

The fourth proportional to 12,150.50, 16,767.69 and 6,561.50 is: 9,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.50 : 16,767.69 = 6,561.50 : x
  2. Step 2: Convert to fraction form
    12,150.50/16,767.69 = 6,561.50/x
  3. Step 3: Cross multiply
    12,150.50x = 16,767.69 × 6,561.50
  4. Step 4: Simplify right side
    12,150.50x = 110,021,197.94
  5. Step 5: Solve for x
    x = 110,021,197.94/12,150.50
  6. Step 6: Final answer
    x = 9,054.87

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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.