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Finding the Fourth Proportional to 13,873.23, 19,144.08 and 8,496.57

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Solution

The fourth proportional to 13,873.23, 19,144.08 and 8,496.57 is: 11,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.23 : 19,144.08 = 8,496.57 : x
  2. Step 2: Convert to fraction form
    13,873.23/19,144.08 = 8,496.57/x
  3. Step 3: Cross multiply
    13,873.23x = 19,144.08 × 8,496.57
  4. Step 4: Simplify right side
    13,873.23x = 162,659,015.81
  5. Step 5: Solve for x
    x = 162,659,015.81/13,873.23
  6. Step 6: Final answer
    x = 11,724.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.