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Finding the Fourth Proportional to 13,759.76, 20,639.64 and 5,546

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Solution

The fourth proportional to 13,759.76, 20,639.64 and 5,546 is: 8,319

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.76 : 20,639.64 = 5,546 : x
  2. Step 2: Convert to fraction form
    13,759.76/20,639.64 = 5,546/x
  3. Step 3: Cross multiply
    13,759.76x = 20,639.64 × 5,546
  4. Step 4: Simplify right side
    13,759.76x = 114,467,443.44
  5. Step 5: Solve for x
    x = 114,467,443.44/13,759.76
  6. Step 6: Final answer
    x = 8,319

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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.