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Finding the Fourth Proportional to 38,420.54, 57,636.96 and 16,234.14

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Solution

The fourth proportional to 38,420.54, 57,636.96 and 16,234.14 is: 24,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420.54 : 57,636.96 = 16,234.14 : x
  2. Step 2: Convert to fraction form
    38,420.54/57,636.96 = 16,234.14/x
  3. Step 3: Cross multiply
    38,420.54x = 57,636.96 × 16,234.14
  4. Step 4: Simplify right side
    38,420.54x = 935,686,477.81
  5. Step 5: Solve for x
    x = 935,686,477.81/38,420.54
  6. Step 6: Final answer
    x = 24,353.81

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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.