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Finding the Fourth Proportional to 20,274.99, 27,978.87 and 11,322.48

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Solution

The fourth proportional to 20,274.99, 27,978.87 and 11,322.48 is: 15,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.99 : 27,978.87 = 11,322.48 : x
  2. Step 2: Convert to fraction form
    20,274.99/27,978.87 = 11,322.48/x
  3. Step 3: Cross multiply
    20,274.99x = 27,978.87 × 11,322.48
  4. Step 4: Simplify right side
    20,274.99x = 316,790,196.00
  5. Step 5: Solve for x
    x = 316,790,196.00/20,274.99
  6. Step 6: Final answer
    x = 15,624.68

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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.