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Finding the Fourth Proportional to 16,853.70, 23,259 and 10,141.44

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Solution

The fourth proportional to 16,853.70, 23,259 and 10,141.44 is: 13,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.70 : 23,259 = 10,141.44 : x
  2. Step 2: Convert to fraction form
    16,853.70/23,259 = 10,141.44/x
  3. Step 3: Cross multiply
    16,853.70x = 23,259 × 10,141.44
  4. Step 4: Simplify right side
    16,853.70x = 235,879,752.96
  5. Step 5: Solve for x
    x = 235,879,752.96/16,853.70
  6. Step 6: Final answer
    x = 13,995.73

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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.