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Finding the Fourth Proportional to 27,524.76, 37,983.38 and 15,589.14

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Solution

The fourth proportional to 27,524.76, 37,983.38 and 15,589.14 is: 21,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.76 : 37,983.38 = 15,589.14 : x
  2. Step 2: Convert to fraction form
    27,524.76/37,983.38 = 15,589.14/x
  3. Step 3: Cross multiply
    27,524.76x = 37,983.38 × 15,589.14
  4. Step 4: Simplify right side
    27,524.76x = 592,128,150.55
  5. Step 5: Solve for x
    x = 592,128,150.55/27,524.76
  6. Step 6: Final answer
    x = 21,512.56

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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.