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Finding the Fourth Proportional to 16,238.33, 24,358.16 and 5,144.77

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Solution

The fourth proportional to 16,238.33, 24,358.16 and 5,144.77 is: 7,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.33 : 24,358.16 = 5,144.77 : x
  2. Step 2: Convert to fraction form
    16,238.33/24,358.16 = 5,144.77/x
  3. Step 3: Cross multiply
    16,238.33x = 24,358.16 × 5,144.77
  4. Step 4: Simplify right side
    16,238.33x = 125,317,009.03
  5. Step 5: Solve for x
    x = 125,317,009.03/16,238.33
  6. Step 6: Final answer
    x = 7,717.36

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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.