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Finding the Fourth Proportional to 30,426.36, 45,654.42 and 17,091

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Solution

The fourth proportional to 30,426.36, 45,654.42 and 17,091 is: 25,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426.36 : 45,654.42 = 17,091 : x
  2. Step 2: Convert to fraction form
    30,426.36/45,654.42 = 17,091/x
  3. Step 3: Cross multiply
    30,426.36x = 45,654.42 × 17,091
  4. Step 4: Simplify right side
    30,426.36x = 780,279,692.22
  5. Step 5: Solve for x
    x = 780,279,692.22/30,426.36
  6. Step 6: Final answer
    x = 25,644.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.