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Finding the Fourth Proportional to 27,958.28, 38,583.16 and 15,212.26

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Solution

The fourth proportional to 27,958.28, 38,583.16 and 15,212.26 is: 20,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,958.28 : 38,583.16 = 15,212.26 : x
  2. Step 2: Convert to fraction form
    27,958.28/38,583.16 = 15,212.26/x
  3. Step 3: Cross multiply
    27,958.28x = 38,583.16 × 15,212.26
  4. Step 4: Simplify right side
    27,958.28x = 586,937,061.54
  5. Step 5: Solve for x
    x = 586,937,061.54/27,958.28
  6. Step 6: Final answer
    x = 20,993.32

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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.