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Finding the Fourth Proportional to 27,328.70, 37,713.74 and 15,392.24

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Solution

The fourth proportional to 27,328.70, 37,713.74 and 15,392.24 is: 21,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,328.70 : 37,713.74 = 15,392.24 : x
  2. Step 2: Convert to fraction form
    27,328.70/37,713.74 = 15,392.24/x
  3. Step 3: Cross multiply
    27,328.70x = 37,713.74 × 15,392.24
  4. Step 4: Simplify right side
    27,328.70x = 580,498,813.27
  5. Step 5: Solve for x
    x = 580,498,813.27/27,328.70
  6. Step 6: Final answer
    x = 21,241.36

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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.