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Finding the Fourth Proportional to 13,762.87, 18,989.60 and 7,793.24

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Solution

The fourth proportional to 13,762.87, 18,989.60 and 7,793.24 is: 10,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.87 : 18,989.60 = 7,793.24 : x
  2. Step 2: Convert to fraction form
    13,762.87/18,989.60 = 7,793.24/x
  3. Step 3: Cross multiply
    13,762.87x = 18,989.60 × 7,793.24
  4. Step 4: Simplify right side
    13,762.87x = 147,990,376.39
  5. Step 5: Solve for x
    x = 147,990,376.39/13,762.87
  6. Step 6: Final answer
    x = 10,752.87

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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.