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Finding the Fourth Proportional to 38,374.64, 57,564.88 and 16,190.40

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Solution

The fourth proportional to 38,374.64, 57,564.88 and 16,190.40 is: 24,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,374.64 : 57,564.88 = 16,190.40 : x
  2. Step 2: Convert to fraction form
    38,374.64/57,564.88 = 16,190.40/x
  3. Step 3: Cross multiply
    38,374.64x = 57,564.88 × 16,190.40
  4. Step 4: Simplify right side
    38,374.64x = 931,998,433.15
  5. Step 5: Solve for x
    x = 931,998,433.15/38,374.64
  6. Step 6: Final answer
    x = 24,286.83

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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.