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Finding the Fourth Proportional to 23,179.50, 31,991.76 and 13,748.67

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Solution

The fourth proportional to 23,179.50, 31,991.76 and 13,748.67 is: 18,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.50 : 31,991.76 = 13,748.67 : x
  2. Step 2: Convert to fraction form
    23,179.50/31,991.76 = 13,748.67/x
  3. Step 3: Cross multiply
    23,179.50x = 31,991.76 × 13,748.67
  4. Step 4: Simplify right side
    23,179.50x = 439,844,150.96
  5. Step 5: Solve for x
    x = 439,844,150.96/23,179.50
  6. Step 6: Final answer
    x = 18,975.57

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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.