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Finding the Fourth Proportional to 12,644.96, 18,956.72 and 5,244.80

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Solution

The fourth proportional to 12,644.96, 18,956.72 and 5,244.80 is: 7,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.96 : 18,956.72 = 5,244.80 : x
  2. Step 2: Convert to fraction form
    12,644.96/18,956.72 = 5,244.80/x
  3. Step 3: Cross multiply
    12,644.96x = 18,956.72 × 5,244.80
  4. Step 4: Simplify right side
    12,644.96x = 99,424,123.38
  5. Step 5: Solve for x
    x = 99,424,123.38/12,644.96
  6. Step 6: Final answer
    x = 7,862.75

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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.