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Finding the Fourth Proportional to 30,623.40, 42,257.70 and 17,193.60

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Solution

The fourth proportional to 30,623.40, 42,257.70 and 17,193.60 is: 23,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,623.40 : 42,257.70 = 17,193.60 : x
  2. Step 2: Convert to fraction form
    30,623.40/42,257.70 = 17,193.60/x
  3. Step 3: Cross multiply
    30,623.40x = 42,257.70 × 17,193.60
  4. Step 4: Simplify right side
    30,623.40x = 726,561,990.72
  5. Step 5: Solve for x
    x = 726,561,990.72/30,623.40
  6. Step 6: Final answer
    x = 23,725.71

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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.