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Finding the Fourth Proportional to 16,126.94, 24,190.50 and 5,739.50

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Solution

The fourth proportional to 16,126.94, 24,190.50 and 5,739.50 is: 8,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.94 : 24,190.50 = 5,739.50 : x
  2. Step 2: Convert to fraction form
    16,126.94/24,190.50 = 5,739.50/x
  3. Step 3: Cross multiply
    16,126.94x = 24,190.50 × 5,739.50
  4. Step 4: Simplify right side
    16,126.94x = 138,841,374.75
  5. Step 5: Solve for x
    x = 138,841,374.75/16,126.94
  6. Step 6: Final answer
    x = 8,609.28

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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.