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Finding the Fourth Proportional to 15,851.22, 21,874.63 and 9,136.80

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Solution

The fourth proportional to 15,851.22, 21,874.63 and 9,136.80 is: 12,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.22 : 21,874.63 = 9,136.80 : x
  2. Step 2: Convert to fraction form
    15,851.22/21,874.63 = 9,136.80/x
  3. Step 3: Cross multiply
    15,851.22x = 21,874.63 × 9,136.80
  4. Step 4: Simplify right side
    15,851.22x = 199,864,119.38
  5. Step 5: Solve for x
    x = 199,864,119.38/15,851.22
  6. Step 6: Final answer
    x = 12,608.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.