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Finding the Fourth Proportional to 30,126.38, 41,573.25 and 16,697.86

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Solution

The fourth proportional to 30,126.38, 41,573.25 and 16,697.86 is: 23,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,126.38 : 41,573.25 = 16,697.86 : x
  2. Step 2: Convert to fraction form
    30,126.38/41,573.25 = 16,697.86/x
  3. Step 3: Cross multiply
    30,126.38x = 41,573.25 × 16,697.86
  4. Step 4: Simplify right side
    30,126.38x = 694,184,204.31
  5. Step 5: Solve for x
    x = 694,184,204.31/30,126.38
  6. Step 6: Final answer
    x = 23,042.41

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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.