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Finding the Fourth Proportional to 21,136.95, 31,705.74 and 10,044.78

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Solution

The fourth proportional to 21,136.95, 31,705.74 and 10,044.78 is: 15,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.95 : 31,705.74 = 10,044.78 : x
  2. Step 2: Convert to fraction form
    21,136.95/31,705.74 = 10,044.78/x
  3. Step 3: Cross multiply
    21,136.95x = 31,705.74 × 10,044.78
  4. Step 4: Simplify right side
    21,136.95x = 318,477,183.04
  5. Step 5: Solve for x
    x = 318,477,183.04/21,136.95
  6. Step 6: Final answer
    x = 15,067.32

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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.