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Finding the Fourth Proportional to 17,745.68, 24,500.04 and 12,461.84

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Solution

The fourth proportional to 17,745.68, 24,500.04 and 12,461.84 is: 17,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.68 : 24,500.04 = 12,461.84 : x
  2. Step 2: Convert to fraction form
    17,745.68/24,500.04 = 12,461.84/x
  3. Step 3: Cross multiply
    17,745.68x = 24,500.04 × 12,461.84
  4. Step 4: Simplify right side
    17,745.68x = 305,315,578.47
  5. Step 5: Solve for x
    x = 305,315,578.47/17,745.68
  6. Step 6: Final answer
    x = 17,205.07

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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.