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Finding the Fourth Proportional to 20,538, 28,342.44 and 11,106.56

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Solution

The fourth proportional to 20,538, 28,342.44 and 11,106.56 is: 15,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 28,342.44 = 11,106.56 : x
  2. Step 2: Convert to fraction form
    20,538/28,342.44 = 11,106.56/x
  3. Step 3: Cross multiply
    20,538x = 28,342.44 × 11,106.56
  4. Step 4: Simplify right side
    20,538x = 314,786,954.87
  5. Step 5: Solve for x
    x = 314,786,954.87/20,538
  6. Step 6: Final answer
    x = 15,327.05

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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.