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Finding the Fourth Proportional to 13,850.84, 20,771.01 and 4,963.76

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Solution

The fourth proportional to 13,850.84, 20,771.01 and 4,963.76 is: 7,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.84 : 20,771.01 = 4,963.76 : x
  2. Step 2: Convert to fraction form
    13,850.84/20,771.01 = 4,963.76/x
  3. Step 3: Cross multiply
    13,850.84x = 20,771.01 × 4,963.76
  4. Step 4: Simplify right side
    13,850.84x = 103,102,360.53
  5. Step 5: Solve for x
    x = 103,102,360.53/13,850.84
  6. Step 6: Final answer
    x = 7,443.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.