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Finding the Fourth Proportional to 27,638.01, 38,151.81 and 18,697.64

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Solution

The fourth proportional to 27,638.01, 38,151.81 and 18,697.64 is: 25,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.01 : 38,151.81 = 18,697.64 : x
  2. Step 2: Convert to fraction form
    27,638.01/38,151.81 = 18,697.64/x
  3. Step 3: Cross multiply
    27,638.01x = 38,151.81 × 18,697.64
  4. Step 4: Simplify right side
    27,638.01x = 713,348,617.97
  5. Step 5: Solve for x
    x = 713,348,617.97/27,638.01
  6. Step 6: Final answer
    x = 25,810.42

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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.