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Finding the Fourth Proportional to 13,874.50, 20,811.76 and 4,146.50

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Solution

The fourth proportional to 13,874.50, 20,811.76 and 4,146.50 is: 6,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.50 : 20,811.76 = 4,146.50 : x
  2. Step 2: Convert to fraction form
    13,874.50/20,811.76 = 4,146.50/x
  3. Step 3: Cross multiply
    13,874.50x = 20,811.76 × 4,146.50
  4. Step 4: Simplify right side
    13,874.50x = 86,295,962.84
  5. Step 5: Solve for x
    x = 86,295,962.84/13,874.50
  6. Step 6: Final answer
    x = 6,219.75

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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.