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Finding the Fourth Proportional to 23,197.71, 34,782.72 and 8,401.64

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Solution

The fourth proportional to 23,197.71, 34,782.72 and 8,401.64 is: 12,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.71 : 34,782.72 = 8,401.64 : x
  2. Step 2: Convert to fraction form
    23,197.71/34,782.72 = 8,401.64/x
  3. Step 3: Cross multiply
    23,197.71x = 34,782.72 × 8,401.64
  4. Step 4: Simplify right side
    23,197.71x = 292,231,717.75
  5. Step 5: Solve for x
    x = 292,231,717.75/23,197.71
  6. Step 6: Final answer
    x = 12,597.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.