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Finding the Fourth Proportional to 24,756, 37,041 and 17,374.86

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Solution

The fourth proportional to 24,756, 37,041 and 17,374.86 is: 25,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756 : 37,041 = 17,374.86 : x
  2. Step 2: Convert to fraction form
    24,756/37,041 = 17,374.86/x
  3. Step 3: Cross multiply
    24,756x = 37,041 × 17,374.86
  4. Step 4: Simplify right side
    24,756x = 643,582,189.26
  5. Step 5: Solve for x
    x = 643,582,189.26/24,756
  6. Step 6: Final answer
    x = 25,997.02

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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.