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Finding the Fourth Proportional to 13,716.41, 20,579.74 and 5,402.22

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Solution

The fourth proportional to 13,716.41, 20,579.74 and 5,402.22 is: 8,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.41 : 20,579.74 = 5,402.22 : x
  2. Step 2: Convert to fraction form
    13,716.41/20,579.74 = 5,402.22/x
  3. Step 3: Cross multiply
    13,716.41x = 20,579.74 × 5,402.22
  4. Step 4: Simplify right side
    13,716.41x = 111,176,283.02
  5. Step 5: Solve for x
    x = 111,176,283.02/13,716.41
  6. Step 6: Final answer
    x = 8,105.35

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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.