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Finding the Fourth Proportional to 24,756, 34,163.36 and 13,425.68

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Solution

The fourth proportional to 24,756, 34,163.36 and 13,425.68 is: 18,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756 : 34,163.36 = 13,425.68 : x
  2. Step 2: Convert to fraction form
    24,756/34,163.36 = 13,425.68/x
  3. Step 3: Cross multiply
    24,756x = 34,163.36 × 13,425.68
  4. Step 4: Simplify right side
    24,756x = 458,666,339.08
  5. Step 5: Solve for x
    x = 458,666,339.08/24,756
  6. Step 6: Final answer
    x = 18,527.48

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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.