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Finding the Fourth Proportional to 13,804.23, 19,052.34 and 8,138.67

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Solution

The fourth proportional to 13,804.23, 19,052.34 and 8,138.67 is: 11,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.23 : 19,052.34 = 8,138.67 : x
  2. Step 2: Convert to fraction form
    13,804.23/19,052.34 = 8,138.67/x
  3. Step 3: Cross multiply
    13,804.23x = 19,052.34 × 8,138.67
  4. Step 4: Simplify right side
    13,804.23x = 155,060,707.99
  5. Step 5: Solve for x
    x = 155,060,707.99/13,804.23
  6. Step 6: Final answer
    x = 11,232.84

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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.