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Finding the Fourth Proportional to 38,423, 57,620.62 and 16,238.09

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Solution

The fourth proportional to 38,423, 57,620.62 and 16,238.09 is: 24,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423 : 57,620.62 = 16,238.09 : x
  2. Step 2: Convert to fraction form
    38,423/57,620.62 = 16,238.09/x
  3. Step 3: Cross multiply
    38,423x = 57,620.62 × 16,238.09
  4. Step 4: Simplify right side
    38,423x = 935,648,813.42
  5. Step 5: Solve for x
    x = 935,648,813.42/38,423
  6. Step 6: Final answer
    x = 24,351.27

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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.