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Finding the Fourth Proportional to 38,597.40, 57,896.10 and 16,405.20

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Solution

The fourth proportional to 38,597.40, 57,896.10 and 16,405.20 is: 24,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,597.40 : 57,896.10 = 16,405.20 : x
  2. Step 2: Convert to fraction form
    38,597.40/57,896.10 = 16,405.20/x
  3. Step 3: Cross multiply
    38,597.40x = 57,896.10 × 16,405.20
  4. Step 4: Simplify right side
    38,597.40x = 949,797,099.72
  5. Step 5: Solve for x
    x = 949,797,099.72/38,597.40
  6. Step 6: Final answer
    x = 24,607.80

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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.