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Finding the Fourth Proportional to 15,136.88, 20,889.48 and 8,422.24

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Solution

The fourth proportional to 15,136.88, 20,889.48 and 8,422.24 is: 11,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.88 : 20,889.48 = 8,422.24 : x
  2. Step 2: Convert to fraction form
    15,136.88/20,889.48 = 8,422.24/x
  3. Step 3: Cross multiply
    15,136.88x = 20,889.48 × 8,422.24
  4. Step 4: Simplify right side
    15,136.88x = 175,936,214.04
  5. Step 5: Solve for x
    x = 175,936,214.04/15,136.88
  6. Step 6: Final answer
    x = 11,623.02

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1.5x scale

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.