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Finding the Fourth Proportional to 14,644.50, 20,211 and 9,612.78

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Solution

The fourth proportional to 14,644.50, 20,211 and 9,612.78 is: 13,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.50 : 20,211 = 9,612.78 : x
  2. Step 2: Convert to fraction form
    14,644.50/20,211 = 9,612.78/x
  3. Step 3: Cross multiply
    14,644.50x = 20,211 × 9,612.78
  4. Step 4: Simplify right side
    14,644.50x = 194,283,896.58
  5. Step 5: Solve for x
    x = 194,283,896.58/14,644.50
  6. Step 6: Final answer
    x = 13,266.68

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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.