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Finding the Fourth Proportional to 20,850.76, 28,774.74 and 11,419.84

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Solution

The fourth proportional to 20,850.76, 28,774.74 and 11,419.84 is: 15,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.76 : 28,774.74 = 11,419.84 : x
  2. Step 2: Convert to fraction form
    20,850.76/28,774.74 = 11,419.84/x
  3. Step 3: Cross multiply
    20,850.76x = 28,774.74 × 11,419.84
  4. Step 4: Simplify right side
    20,850.76x = 328,602,926.84
  5. Step 5: Solve for x
    x = 328,602,926.84/20,850.76
  6. Step 6: Final answer
    x = 15,759.76

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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.