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Finding the Fourth Proportional to 20,994.66, 28,971.27 and 11,563.22

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Solution

The fourth proportional to 20,994.66, 28,971.27 and 11,563.22 is: 15,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.66 : 28,971.27 = 11,563.22 : x
  2. Step 2: Convert to fraction form
    20,994.66/28,971.27 = 11,563.22/x
  3. Step 3: Cross multiply
    20,994.66x = 28,971.27 × 11,563.22
  4. Step 4: Simplify right side
    20,994.66x = 335,001,241.12
  5. Step 5: Solve for x
    x = 335,001,241.12/20,994.66
  6. Step 6: Final answer
    x = 15,956.50

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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.