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Finding the Fourth Proportional to 20,317.44, 30,402.25 and 16,774.50

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Solution

The fourth proportional to 20,317.44, 30,402.25 and 16,774.50 is: 25,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,317.44 : 30,402.25 = 16,774.50 : x
  2. Step 2: Convert to fraction form
    20,317.44/30,402.25 = 16,774.50/x
  3. Step 3: Cross multiply
    20,317.44x = 30,402.25 × 16,774.50
  4. Step 4: Simplify right side
    20,317.44x = 509,982,542.63
  5. Step 5: Solve for x
    x = 509,982,542.63/20,317.44
  6. Step 6: Final answer
    x = 25,100.73

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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.