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Finding the Fourth Proportional to 16,109.82, 22,181.03 and 14,633.59

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Solution

The fourth proportional to 16,109.82, 22,181.03 and 14,633.59 is: 20,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.82 : 22,181.03 = 14,633.59 : x
  2. Step 2: Convert to fraction form
    16,109.82/22,181.03 = 14,633.59/x
  3. Step 3: Cross multiply
    16,109.82x = 22,181.03 × 14,633.59
  4. Step 4: Simplify right side
    16,109.82x = 324,588,025.63
  5. Step 5: Solve for x
    x = 324,588,025.63/16,109.82
  6. Step 6: Final answer
    x = 20,148.46

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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.