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Finding the Fourth Proportional to 30,996.42, 42,773.64 and 17,566.88

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Solution

The fourth proportional to 30,996.42, 42,773.64 and 17,566.88 is: 24,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996.42 : 42,773.64 = 17,566.88 : x
  2. Step 2: Convert to fraction form
    30,996.42/42,773.64 = 17,566.88/x
  3. Step 3: Cross multiply
    30,996.42x = 42,773.64 × 17,566.88
  4. Step 4: Simplify right side
    30,996.42x = 751,399,401.04
  5. Step 5: Solve for x
    x = 751,399,401.04/30,996.42
  6. Step 6: Final answer
    x = 24,241.49

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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.