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Finding the Fourth Proportional to 38,506.10, 57,761.19 and 12,212.90

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Solution

The fourth proportional to 38,506.10, 57,761.19 and 12,212.90 is: 18,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.10 : 57,761.19 = 12,212.90 : x
  2. Step 2: Convert to fraction form
    38,506.10/57,761.19 = 12,212.90/x
  3. Step 3: Cross multiply
    38,506.10x = 57,761.19 × 12,212.90
  4. Step 4: Simplify right side
    38,506.10x = 705,431,637.35
  5. Step 5: Solve for x
    x = 705,431,637.35/38,506.10
  6. Step 6: Final answer
    x = 18,320.00

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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.