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Finding the Fourth Proportional to 20,419.82, 28,157.79 and 16,164.08

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Solution

The fourth proportional to 20,419.82, 28,157.79 and 16,164.08 is: 22,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.82 : 28,157.79 = 16,164.08 : x
  2. Step 2: Convert to fraction form
    20,419.82/28,157.79 = 16,164.08/x
  3. Step 3: Cross multiply
    20,419.82x = 28,157.79 × 16,164.08
  4. Step 4: Simplify right side
    20,419.82x = 455,144,770.18
  5. Step 5: Solve for x
    x = 455,144,770.18/20,419.82
  6. Step 6: Final answer
    x = 22,289.36

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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.