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Finding the Fourth Proportional to 16,238.34, 24,361.11 and 5,145.69

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Solution

The fourth proportional to 16,238.34, 24,361.11 and 5,145.69 is: 7,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.34 : 24,361.11 = 5,145.69 : x
  2. Step 2: Convert to fraction form
    16,238.34/24,361.11 = 5,145.69/x
  3. Step 3: Cross multiply
    16,238.34x = 24,361.11 × 5,145.69
  4. Step 4: Simplify right side
    16,238.34x = 125,354,720.12
  5. Step 5: Solve for x
    x = 125,354,720.12/16,238.34
  6. Step 6: Final answer
    x = 7,719.68

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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.