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Finding the Fourth Proportional to 30,609.96, 42,241.71 and 17,181.23

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Solution

The fourth proportional to 30,609.96, 42,241.71 and 17,181.23 is: 23,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.96 : 42,241.71 = 17,181.23 : x
  2. Step 2: Convert to fraction form
    30,609.96/42,241.71 = 17,181.23/x
  3. Step 3: Cross multiply
    30,609.96x = 42,241.71 × 17,181.23
  4. Step 4: Simplify right side
    30,609.96x = 725,764,535.10
  5. Step 5: Solve for x
    x = 725,764,535.10/30,609.96
  6. Step 6: Final answer
    x = 23,710.08

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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.