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Finding the Fourth Proportional to 17,662.23, 26,505.80 and 8,302.68

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Solution

The fourth proportional to 17,662.23, 26,505.80 and 8,302.68 is: 12,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.23 : 26,505.80 = 8,302.68 : x
  2. Step 2: Convert to fraction form
    17,662.23/26,505.80 = 8,302.68/x
  3. Step 3: Cross multiply
    17,662.23x = 26,505.80 × 8,302.68
  4. Step 4: Simplify right side
    17,662.23x = 220,069,175.54
  5. Step 5: Solve for x
    x = 220,069,175.54/17,662.23
  6. Step 6: Final answer
    x = 12,459.87

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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.