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Finding the Fourth Proportional to 16,853.25, 23,257.49 and 9,401.25

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Solution

The fourth proportional to 16,853.25, 23,257.49 and 9,401.25 is: 12,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.25 : 23,257.49 = 9,401.25 : x
  2. Step 2: Convert to fraction form
    16,853.25/23,257.49 = 9,401.25/x
  3. Step 3: Cross multiply
    16,853.25x = 23,257.49 × 9,401.25
  4. Step 4: Simplify right side
    16,853.25x = 218,649,430.86
  5. Step 5: Solve for x
    x = 218,649,430.86/16,853.25
  6. Step 6: Final answer
    x = 12,973.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.