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Finding the Fourth Proportional to 23,805.80, 32,854.36 and 13,197.48

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Solution

The fourth proportional to 23,805.80, 32,854.36 and 13,197.48 is: 18,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.80 : 32,854.36 = 13,197.48 : x
  2. Step 2: Convert to fraction form
    23,805.80/32,854.36 = 13,197.48/x
  3. Step 3: Cross multiply
    23,805.80x = 32,854.36 × 13,197.48
  4. Step 4: Simplify right side
    23,805.80x = 433,594,812.37
  5. Step 5: Solve for x
    x = 433,594,812.37/23,805.80
  6. Step 6: Final answer
    x = 18,213.83

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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.