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Finding the Fourth Proportional to 27,568, 38,043.84 and 14,993.02

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Solution

The fourth proportional to 27,568, 38,043.84 and 14,993.02 is: 20,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568 : 38,043.84 = 14,993.02 : x
  2. Step 2: Convert to fraction form
    27,568/38,043.84 = 14,993.02/x
  3. Step 3: Cross multiply
    27,568x = 38,043.84 × 14,993.02
  4. Step 4: Simplify right side
    27,568x = 570,392,054.00
  5. Step 5: Solve for x
    x = 570,392,054.00/27,568
  6. Step 6: Final answer
    x = 20,690.37

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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.