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Finding the Fourth Proportional to 38,606.16, 57,865.32 and 16,405.68

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Solution

The fourth proportional to 38,606.16, 57,865.32 and 16,405.68 is: 24,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,606.16 : 57,865.32 = 16,405.68 : x
  2. Step 2: Convert to fraction form
    38,606.16/57,865.32 = 16,405.68/x
  3. Step 3: Cross multiply
    38,606.16x = 57,865.32 × 16,405.68
  4. Step 4: Simplify right side
    38,606.16x = 949,319,923.02
  5. Step 5: Solve for x
    x = 949,319,923.02/38,606.16
  6. Step 6: Final answer
    x = 24,589.86

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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.