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Finding the Fourth Proportional to 14,852.28, 20,496.14 and 8,138.16

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Solution

The fourth proportional to 14,852.28, 20,496.14 and 8,138.16 is: 11,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.28 : 20,496.14 = 8,138.16 : x
  2. Step 2: Convert to fraction form
    14,852.28/20,496.14 = 8,138.16/x
  3. Step 3: Cross multiply
    14,852.28x = 20,496.14 × 8,138.16
  4. Step 4: Simplify right side
    14,852.28x = 166,800,866.70
  5. Step 5: Solve for x
    x = 166,800,866.70/14,852.28
  6. Step 6: Final answer
    x = 11,230.66

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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.