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Finding the Fourth Proportional to 20,839.10, 28,756.84 and 11,405.84

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Solution

The fourth proportional to 20,839.10, 28,756.84 and 11,405.84 is: 15,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839.10 : 28,756.84 = 11,405.84 : x
  2. Step 2: Convert to fraction form
    20,839.10/28,756.84 = 11,405.84/x
  3. Step 3: Cross multiply
    20,839.10x = 28,756.84 × 11,405.84
  4. Step 4: Simplify right side
    20,839.10x = 327,995,915.95
  5. Step 5: Solve for x
    x = 327,995,915.95/20,839.10
  6. Step 6: Final answer
    x = 15,739.45

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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.