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Finding the Fourth Proportional to 38,465.63, 57,692.67 and 12,166.96

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Solution

The fourth proportional to 38,465.63, 57,692.67 and 12,166.96 is: 18,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.63 : 57,692.67 = 12,166.96 : x
  2. Step 2: Convert to fraction form
    38,465.63/57,692.67 = 12,166.96/x
  3. Step 3: Cross multiply
    38,465.63x = 57,692.67 × 12,166.96
  4. Step 4: Simplify right side
    38,465.63x = 701,944,119.72
  5. Step 5: Solve for x
    x = 701,944,119.72/38,465.63
  6. Step 6: Final answer
    x = 18,248.61

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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.