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Finding the Fourth Proportional to 13,617.94, 20,427.58 and 3,757

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Solution

The fourth proportional to 13,617.94, 20,427.58 and 3,757 is: 5,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.94 : 20,427.58 = 3,757 : x
  2. Step 2: Convert to fraction form
    13,617.94/20,427.58 = 3,757/x
  3. Step 3: Cross multiply
    13,617.94x = 20,427.58 × 3,757
  4. Step 4: Simplify right side
    13,617.94x = 76,746,418.06
  5. Step 5: Solve for x
    x = 76,746,418.06/13,617.94
  6. Step 6: Final answer
    x = 5,635.68

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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.