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Finding the Fourth Proportional to 20,159.98, 27,820.74 and 11,208.31

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Solution

The fourth proportional to 20,159.98, 27,820.74 and 11,208.31 is: 15,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.98 : 27,820.74 = 11,208.31 : x
  2. Step 2: Convert to fraction form
    20,159.98/27,820.74 = 11,208.31/x
  3. Step 3: Cross multiply
    20,159.98x = 27,820.74 × 11,208.31
  4. Step 4: Simplify right side
    20,159.98x = 311,823,478.35
  5. Step 5: Solve for x
    x = 311,823,478.35/20,159.98
  6. Step 6: Final answer
    x = 15,467.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.