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Finding the Fourth Proportional to 20,224.06, 27,910.16 and 11,271.63

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Solution

The fourth proportional to 20,224.06, 27,910.16 and 11,271.63 is: 15,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.06 : 27,910.16 = 11,271.63 : x
  2. Step 2: Convert to fraction form
    20,224.06/27,910.16 = 11,271.63/x
  3. Step 3: Cross multiply
    20,224.06x = 27,910.16 × 11,271.63
  4. Step 4: Simplify right side
    20,224.06x = 314,592,996.76
  5. Step 5: Solve for x
    x = 314,592,996.76/20,224.06
  6. Step 6: Final answer
    x = 15,555.38

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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.