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Finding the Fourth Proportional to 20,096.61, 27,735 and 11,147.01

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Solution

The fourth proportional to 20,096.61, 27,735 and 11,147.01 is: 15,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.61 : 27,735 = 11,147.01 : x
  2. Step 2: Convert to fraction form
    20,096.61/27,735 = 11,147.01/x
  3. Step 3: Cross multiply
    20,096.61x = 27,735 × 11,147.01
  4. Step 4: Simplify right side
    20,096.61x = 309,162,322.35
  5. Step 5: Solve for x
    x = 309,162,322.35/20,096.61
  6. Step 6: Final answer
    x = 15,383.80

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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.