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Finding the Fourth Proportional to 38,676.80, 58,015.20 and 12,382.40

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Solution

The fourth proportional to 38,676.80, 58,015.20 and 12,382.40 is: 18,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,676.80 : 58,015.20 = 12,382.40 : x
  2. Step 2: Convert to fraction form
    38,676.80/58,015.20 = 12,382.40/x
  3. Step 3: Cross multiply
    38,676.80x = 58,015.20 × 12,382.40
  4. Step 4: Simplify right side
    38,676.80x = 718,367,412.48
  5. Step 5: Solve for x
    x = 718,367,412.48/38,676.80
  6. Step 6: Final answer
    x = 18,573.60

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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.