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Finding the Fourth Proportional to 14,923.82, 20,594.06 and 8,208.36

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Solution

The fourth proportional to 14,923.82, 20,594.06 and 8,208.36 is: 11,327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.82 : 20,594.06 = 8,208.36 : x
  2. Step 2: Convert to fraction form
    14,923.82/20,594.06 = 8,208.36/x
  3. Step 3: Cross multiply
    14,923.82x = 20,594.06 × 8,208.36
  4. Step 4: Simplify right side
    14,923.82x = 169,043,517.54
  5. Step 5: Solve for x
    x = 169,043,517.54/14,923.82
  6. Step 6: Final answer
    x = 11,327.09

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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.