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Finding the Fourth Proportional to 30,614.97, 42,257.84 and 17,871.60

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Solution

The fourth proportional to 30,614.97, 42,257.84 and 17,871.60 is: 24,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.97 : 42,257.84 = 17,871.60 : x
  2. Step 2: Convert to fraction form
    30,614.97/42,257.84 = 17,871.60/x
  3. Step 3: Cross multiply
    30,614.97x = 42,257.84 × 17,871.60
  4. Step 4: Simplify right side
    30,614.97x = 755,215,123.99
  5. Step 5: Solve for x
    x = 755,215,123.99/30,614.97
  6. Step 6: Final answer
    x = 24,668.16

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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.