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Finding the Fourth Proportional to 20,166.66, 27,829.86 and 11,213.64

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Solution

The fourth proportional to 20,166.66, 27,829.86 and 11,213.64 is: 15,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.66 : 27,829.86 = 11,213.64 : x
  2. Step 2: Convert to fraction form
    20,166.66/27,829.86 = 11,213.64/x
  3. Step 3: Cross multiply
    20,166.66x = 27,829.86 × 11,213.64
  4. Step 4: Simplify right side
    20,166.66x = 312,074,031.29
  5. Step 5: Solve for x
    x = 312,074,031.29/20,166.66
  6. Step 6: Final answer
    x = 15,474.75

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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.