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Finding the Fourth Proportional to 27,589.25, 38,073.30 and 15,014

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Solution

The fourth proportional to 27,589.25, 38,073.30 and 15,014 is: 20,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589.25 : 38,073.30 = 15,014 : x
  2. Step 2: Convert to fraction form
    27,589.25/38,073.30 = 15,014/x
  3. Step 3: Cross multiply
    27,589.25x = 38,073.30 × 15,014
  4. Step 4: Simplify right side
    27,589.25x = 571,632,526.20
  5. Step 5: Solve for x
    x = 571,632,526.20/27,589.25
  6. Step 6: Final answer
    x = 20,719.39

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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.