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Finding the Fourth Proportional to 38,310.34, 57,465.52 and 12,017.14

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Solution

The fourth proportional to 38,310.34, 57,465.52 and 12,017.14 is: 18,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,310.34 : 57,465.52 = 12,017.14 : x
  2. Step 2: Convert to fraction form
    38,310.34/57,465.52 = 12,017.14/x
  3. Step 3: Cross multiply
    38,310.34x = 57,465.52 × 12,017.14
  4. Step 4: Simplify right side
    38,310.34x = 690,571,199.01
  5. Step 5: Solve for x
    x = 690,571,199.01/38,310.34
  6. Step 6: Final answer
    x = 18,025.71

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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.