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Finding the Fourth Proportional to 20,858.76, 28,784.94 and 11,427.42

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Solution

The fourth proportional to 20,858.76, 28,784.94 and 11,427.42 is: 15,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.76 : 28,784.94 = 11,427.42 : x
  2. Step 2: Convert to fraction form
    20,858.76/28,784.94 = 11,427.42/x
  3. Step 3: Cross multiply
    20,858.76x = 28,784.94 × 11,427.42
  4. Step 4: Simplify right side
    20,858.76x = 328,937,599.05
  5. Step 5: Solve for x
    x = 328,937,599.05/20,858.76
  6. Step 6: Final answer
    x = 15,769.76

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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.