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Finding the Fourth Proportional to 16,238.25, 24,367.14 and 7,004.25

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Solution

The fourth proportional to 16,238.25, 24,367.14 and 7,004.25 is: 10,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.25 : 24,367.14 = 7,004.25 : x
  2. Step 2: Convert to fraction form
    16,238.25/24,367.14 = 7,004.25/x
  3. Step 3: Cross multiply
    16,238.25x = 24,367.14 × 7,004.25
  4. Step 4: Simplify right side
    16,238.25x = 170,673,540.35
  5. Step 5: Solve for x
    x = 170,673,540.35/16,238.25
  6. Step 6: Final answer
    x = 10,510.59

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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.