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Finding the Fourth Proportional to 13,745, 20,617.64 and 3,356.75

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Solution

The fourth proportional to 13,745, 20,617.64 and 3,356.75 is: 5,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745 : 20,617.64 = 3,356.75 : x
  2. Step 2: Convert to fraction form
    13,745/20,617.64 = 3,356.75/x
  3. Step 3: Cross multiply
    13,745x = 20,617.64 × 3,356.75
  4. Step 4: Simplify right side
    13,745x = 69,208,263.07
  5. Step 5: Solve for x
    x = 69,208,263.07/13,745
  6. Step 6: Final answer
    x = 5,035.16

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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.