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Finding the Fourth Proportional to 14,650.50, 21,975.78 and 6,864.78

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Solution

The fourth proportional to 14,650.50, 21,975.78 and 6,864.78 is: 10,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650.50 : 21,975.78 = 6,864.78 : x
  2. Step 2: Convert to fraction form
    14,650.50/21,975.78 = 6,864.78/x
  3. Step 3: Cross multiply
    14,650.50x = 21,975.78 × 6,864.78
  4. Step 4: Simplify right side
    14,650.50x = 150,858,895.03
  5. Step 5: Solve for x
    x = 150,858,895.03/14,650.50
  6. Step 6: Final answer
    x = 10,297.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.