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Finding the Fourth Proportional to 20,284.96, 27,953.69 and 14,609.00

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Solution

The fourth proportional to 20,284.96, 27,953.69 and 14,609.00 is: 20,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.96 : 27,953.69 = 14,609.00 : x
  2. Step 2: Convert to fraction form
    20,284.96/27,953.69 = 14,609.00/x
  3. Step 3: Cross multiply
    20,284.96x = 27,953.69 × 14,609.00
  4. Step 4: Simplify right side
    20,284.96x = 408,375,563.62
  5. Step 5: Solve for x
    x = 408,375,563.62/20,284.96
  6. Step 6: Final answer
    x = 20,131.94

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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.