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Finding the Fourth Proportional to 30,874.79, 42,614.21 and 17,453.84

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Solution

The fourth proportional to 30,874.79, 42,614.21 and 17,453.84 is: 24,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.79 : 42,614.21 = 17,453.84 : x
  2. Step 2: Convert to fraction form
    30,874.79/42,614.21 = 17,453.84/x
  3. Step 3: Cross multiply
    30,874.79x = 42,614.21 × 17,453.84
  4. Step 4: Simplify right side
    30,874.79x = 743,781,433.63
  5. Step 5: Solve for x
    x = 743,781,433.63/30,874.79
  6. Step 6: Final answer
    x = 24,090.25

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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.