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Finding the Fourth Proportional to 21,136.48, 31,704.99 and 10,044.25

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Solution

The fourth proportional to 21,136.48, 31,704.99 and 10,044.25 is: 15,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.48 : 31,704.99 = 10,044.25 : x
  2. Step 2: Convert to fraction form
    21,136.48/31,704.99 = 10,044.25/x
  3. Step 3: Cross multiply
    21,136.48x = 31,704.99 × 10,044.25
  4. Step 4: Simplify right side
    21,136.48x = 318,452,845.81
  5. Step 5: Solve for x
    x = 318,452,845.81/21,136.48
  6. Step 6: Final answer
    x = 15,066.50

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Why These Related Problems?

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