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Finding the Fourth Proportional to 38,546.70, 57,820.23 and 12,254.10

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Solution

The fourth proportional to 38,546.70, 57,820.23 and 12,254.10 is: 18,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,546.70 : 57,820.23 = 12,254.10 : x
  2. Step 2: Convert to fraction form
    38,546.70/57,820.23 = 12,254.10/x
  3. Step 3: Cross multiply
    38,546.70x = 57,820.23 × 12,254.10
  4. Step 4: Simplify right side
    38,546.70x = 708,534,880.44
  5. Step 5: Solve for x
    x = 708,534,880.44/38,546.70
  6. Step 6: Final answer
    x = 18,381.21

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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.