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Finding the Fourth Proportional to 24,755.86, 37,135.01 and 9,169.84

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Solution

The fourth proportional to 24,755.86, 37,135.01 and 9,169.84 is: 13,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,755.86 : 37,135.01 = 9,169.84 : x
  2. Step 2: Convert to fraction form
    24,755.86/37,135.01 = 9,169.84/x
  3. Step 3: Cross multiply
    24,755.86x = 37,135.01 × 9,169.84
  4. Step 4: Simplify right side
    24,755.86x = 340,522,100.10
  5. Step 5: Solve for x
    x = 340,522,100.10/24,755.86
  6. Step 6: Final answer
    x = 13,755.21

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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.