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Finding the Fourth Proportional to 20,027.00, 27,614.98 and 16,382.00

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Solution

The fourth proportional to 20,027.00, 27,614.98 and 16,382.00 is: 22,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.00 : 27,614.98 = 16,382.00 : x
  2. Step 2: Convert to fraction form
    20,027.00/27,614.98 = 16,382.00/x
  3. Step 3: Cross multiply
    20,027.00x = 27,614.98 × 16,382.00
  4. Step 4: Simplify right side
    20,027.00x = 452,388,444.39
  5. Step 5: Solve for x
    x = 452,388,444.39/20,027.00
  6. Step 6: Final answer
    x = 22,588.93

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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.