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Finding the Fourth Proportional to 27,662.96, 38,130.26 and 18,707.20

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Solution

The fourth proportional to 27,662.96, 38,130.26 and 18,707.20 is: 25,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.96 : 38,130.26 = 18,707.20 : x
  2. Step 2: Convert to fraction form
    27,662.96/38,130.26 = 18,707.20/x
  3. Step 3: Cross multiply
    27,662.96x = 38,130.26 × 18,707.20
  4. Step 4: Simplify right side
    27,662.96x = 713,310,399.87
  5. Step 5: Solve for x
    x = 713,310,399.87/27,662.96
  6. Step 6: Final answer
    x = 25,785.76

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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.