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Finding the Fourth Proportional to 23,227.68, 32,054.49 and 12,617.49

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Solution

The fourth proportional to 23,227.68, 32,054.49 and 12,617.49 is: 17,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.68 : 32,054.49 = 12,617.49 : x
  2. Step 2: Convert to fraction form
    23,227.68/32,054.49 = 12,617.49/x
  3. Step 3: Cross multiply
    23,227.68x = 32,054.49 × 12,617.49
  4. Step 4: Simplify right side
    23,227.68x = 404,447,207.03
  5. Step 5: Solve for x
    x = 404,447,207.03/23,227.68
  6. Step 6: Final answer
    x = 17,412.29

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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.