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Finding the Fourth Proportional to 13,107.66, 19,664.60 and 5,713.44

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Solution

The fourth proportional to 13,107.66, 19,664.60 and 5,713.44 is: 8,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.66 : 19,664.60 = 5,713.44 : x
  2. Step 2: Convert to fraction form
    13,107.66/19,664.60 = 5,713.44/x
  3. Step 3: Cross multiply
    13,107.66x = 19,664.60 × 5,713.44
  4. Step 4: Simplify right side
    13,107.66x = 112,352,483.66
  5. Step 5: Solve for x
    x = 112,352,483.66/13,107.66
  6. Step 6: Final answer
    x = 8,571.51

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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.