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Finding the Fourth Proportional to 14,884.23, 20,539.86 and 8,169.84

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Solution

The fourth proportional to 14,884.23, 20,539.86 and 8,169.84 is: 11,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.23 : 20,539.86 = 8,169.84 : x
  2. Step 2: Convert to fraction form
    14,884.23/20,539.86 = 8,169.84/x
  3. Step 3: Cross multiply
    14,884.23x = 20,539.86 × 8,169.84
  4. Step 4: Simplify right side
    14,884.23x = 167,807,369.82
  5. Step 5: Solve for x
    x = 167,807,369.82/14,884.23
  6. Step 6: Final answer
    x = 11,274.17

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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.