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Finding the Fourth Proportional to 28,178.85, 42,257.34 and 12,383.25

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Solution

The fourth proportional to 28,178.85, 42,257.34 and 12,383.25 is: 18,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,178.85 : 42,257.34 = 12,383.25 : x
  2. Step 2: Convert to fraction form
    28,178.85/42,257.34 = 12,383.25/x
  3. Step 3: Cross multiply
    28,178.85x = 42,257.34 × 12,383.25
  4. Step 4: Simplify right side
    28,178.85x = 523,283,205.56
  5. Step 5: Solve for x
    x = 523,283,205.56/28,178.85
  6. Step 6: Final answer
    x = 18,570.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.