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Finding the Fourth Proportional to 17,655.68, 26,500.80 and 12,016

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Solution

The fourth proportional to 17,655.68, 26,500.80 and 12,016 is: 18,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.68 : 26,500.80 = 12,016 : x
  2. Step 2: Convert to fraction form
    17,655.68/26,500.80 = 12,016/x
  3. Step 3: Cross multiply
    17,655.68x = 26,500.80 × 12,016
  4. Step 4: Simplify right side
    17,655.68x = 318,433,612.80
  5. Step 5: Solve for x
    x = 318,433,612.80/17,655.68
  6. Step 6: Final answer
    x = 18,035.76

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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.