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Finding the Fourth Proportional to 30,577.68, 42,193.44 and 18,000

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Solution

The fourth proportional to 30,577.68, 42,193.44 and 18,000 is: 24,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.68 : 42,193.44 = 18,000 : x
  2. Step 2: Convert to fraction form
    30,577.68/42,193.44 = 18,000/x
  3. Step 3: Cross multiply
    30,577.68x = 42,193.44 × 18,000
  4. Step 4: Simplify right side
    30,577.68x = 759,481,920
  5. Step 5: Solve for x
    x = 759,481,920/30,577.68
  6. Step 6: Final answer
    x = 24,837.79

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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.