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Finding the Fourth Proportional to 20,196.16, 27,870.40 and 11,243.64

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Solution

The fourth proportional to 20,196.16, 27,870.40 and 11,243.64 is: 15,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.16 : 27,870.40 = 11,243.64 : x
  2. Step 2: Convert to fraction form
    20,196.16/27,870.40 = 11,243.64/x
  3. Step 3: Cross multiply
    20,196.16x = 27,870.40 × 11,243.64
  4. Step 4: Simplify right side
    20,196.16x = 313,364,744.26
  5. Step 5: Solve for x
    x = 313,364,744.26/20,196.16
  6. Step 6: Final answer
    x = 15,516.06

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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.