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Finding the Fourth Proportional to 16,853.44, 23,257.74 and 9,401.44

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Solution

The fourth proportional to 16,853.44, 23,257.74 and 9,401.44 is: 12,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.44 : 23,257.74 = 9,401.44 : x
  2. Step 2: Convert to fraction form
    16,853.44/23,257.74 = 9,401.44/x
  3. Step 3: Cross multiply
    16,853.44x = 23,257.74 × 9,401.44
  4. Step 4: Simplify right side
    16,853.44x = 218,656,247.15
  5. Step 5: Solve for x
    x = 218,656,247.15/16,853.44
  6. Step 6: Final answer
    x = 12,973.98

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1.5x scale

Why These Related Problems?

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