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Finding the Fourth Proportional to 13,023.46, 19,496.79 and 8,077.18

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Solution

The fourth proportional to 13,023.46, 19,496.79 and 8,077.18 is: 12,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.46 : 19,496.79 = 8,077.18 : x
  2. Step 2: Convert to fraction form
    13,023.46/19,496.79 = 8,077.18/x
  3. Step 3: Cross multiply
    13,023.46x = 19,496.79 × 8,077.18
  4. Step 4: Simplify right side
    13,023.46x = 157,479,082.25
  5. Step 5: Solve for x
    x = 157,479,082.25/13,023.46
  6. Step 6: Final answer
    x = 12,091.95

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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.