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Finding the Fourth Proportional to 17,756.42, 26,609.25 and 13,039.43

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Solution

The fourth proportional to 17,756.42, 26,609.25 and 13,039.43 is: 19,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,756.42 : 26,609.25 = 13,039.43 : x
  2. Step 2: Convert to fraction form
    17,756.42/26,609.25 = 13,039.43/x
  3. Step 3: Cross multiply
    17,756.42x = 26,609.25 × 13,039.43
  4. Step 4: Simplify right side
    17,756.42x = 346,969,387.53
  5. Step 5: Solve for x
    x = 346,969,387.53/17,756.42
  6. Step 6: Final answer
    x = 19,540.50

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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.