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Finding the Fourth Proportional to 24,698.67, 34,074.86 and 16,205.48

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Solution

The fourth proportional to 24,698.67, 34,074.86 and 16,205.48 is: 22,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.67 : 34,074.86 = 16,205.48 : x
  2. Step 2: Convert to fraction form
    24,698.67/34,074.86 = 16,205.48/x
  3. Step 3: Cross multiply
    24,698.67x = 34,074.86 × 16,205.48
  4. Step 4: Simplify right side
    24,698.67x = 552,199,546.05
  5. Step 5: Solve for x
    x = 552,199,546.05/24,698.67
  6. Step 6: Final answer
    x = 22,357.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.