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Finding the Fourth Proportional to 23,353, 32,227.07 and 12,742.63

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Solution

The fourth proportional to 23,353, 32,227.07 and 12,742.63 is: 17,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353 : 32,227.07 = 12,742.63 : x
  2. Step 2: Convert to fraction form
    23,353/32,227.07 = 12,742.63/x
  3. Step 3: Cross multiply
    23,353x = 32,227.07 × 12,742.63
  4. Step 4: Simplify right side
    23,353x = 410,657,628.99
  5. Step 5: Solve for x
    x = 410,657,628.99/23,353
  6. Step 6: Final answer
    x = 17,584.79

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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.