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Finding the Fourth Proportional to 16,782.61, 23,160.08 and 9,229.42

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Solution

The fourth proportional to 16,782.61, 23,160.08 and 9,229.42 is: 12,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.61 : 23,160.08 = 9,229.42 : x
  2. Step 2: Convert to fraction form
    16,782.61/23,160.08 = 9,229.42/x
  3. Step 3: Cross multiply
    16,782.61x = 23,160.08 × 9,229.42
  4. Step 4: Simplify right side
    16,782.61x = 213,754,105.55
  5. Step 5: Solve for x
    x = 213,754,105.55/16,782.61
  6. Step 6: Final answer
    x = 12,736.64

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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.