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Finding the Fourth Proportional to 24,489.89, 36,738.29 and 7,846.03

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Solution

The fourth proportional to 24,489.89, 36,738.29 and 7,846.03 is: 11,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489.89 : 36,738.29 = 7,846.03 : x
  2. Step 2: Convert to fraction form
    24,489.89/36,738.29 = 7,846.03/x
  3. Step 3: Cross multiply
    24,489.89x = 36,738.29 × 7,846.03
  4. Step 4: Simplify right side
    24,489.89x = 288,249,531.99
  5. Step 5: Solve for x
    x = 288,249,531.99/24,489.89
  6. Step 6: Final answer
    x = 11,770.15

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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.