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Finding the Fourth Proportional to 22,096, 30,466.56 and 15,797.76

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Solution

The fourth proportional to 22,096, 30,466.56 and 15,797.76 is: 21,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096 : 30,466.56 = 15,797.76 : x
  2. Step 2: Convert to fraction form
    22,096/30,466.56 = 15,797.76/x
  3. Step 3: Cross multiply
    22,096x = 30,466.56 × 15,797.76
  4. Step 4: Simplify right side
    22,096x = 481,303,402.91
  5. Step 5: Solve for x
    x = 481,303,402.91/22,096
  6. Step 6: Final answer
    x = 21,782.38

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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.