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Finding the Fourth Proportional to 20,757.42, 28,646.10 and 11,806.50

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Solution

The fourth proportional to 20,757.42, 28,646.10 and 11,806.50 is: 16,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.42 : 28,646.10 = 11,806.50 : x
  2. Step 2: Convert to fraction form
    20,757.42/28,646.10 = 11,806.50/x
  3. Step 3: Cross multiply
    20,757.42x = 28,646.10 × 11,806.50
  4. Step 4: Simplify right side
    20,757.42x = 338,210,179.65
  5. Step 5: Solve for x
    x = 338,210,179.65/20,757.42
  6. Step 6: Final answer
    x = 16,293.46

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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.