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Finding the Fourth Proportional to 27,157.68, 37,474.32 and 15,218.28

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Solution

The fourth proportional to 27,157.68, 37,474.32 and 15,218.28 is: 20,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157.68 : 37,474.32 = 15,218.28 : x
  2. Step 2: Convert to fraction form
    27,157.68/37,474.32 = 15,218.28/x
  3. Step 3: Cross multiply
    27,157.68x = 37,474.32 × 15,218.28
  4. Step 4: Simplify right side
    27,157.68x = 570,294,694.57
  5. Step 5: Solve for x
    x = 570,294,694.57/27,157.68
  6. Step 6: Final answer
    x = 20,999.39

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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.