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Finding the Fourth Proportional to 18,775.50, 25,915.97 and 10,823.03

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Solution

The fourth proportional to 18,775.50, 25,915.97 and 10,823.03 is: 14,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,775.50 : 25,915.97 = 10,823.03 : x
  2. Step 2: Convert to fraction form
    18,775.50/25,915.97 = 10,823.03/x
  3. Step 3: Cross multiply
    18,775.50x = 25,915.97 × 10,823.03
  4. Step 4: Simplify right side
    18,775.50x = 280,489,137.09
  5. Step 5: Solve for x
    x = 280,489,137.09/18,775.50
  6. Step 6: Final answer
    x = 14,939.10

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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.