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Finding the Fourth Proportional to 16,218.40, 24,283.66 and 8,410.84

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Solution

The fourth proportional to 16,218.40, 24,283.66 and 8,410.84 is: 12,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.40 : 24,283.66 = 8,410.84 : x
  2. Step 2: Convert to fraction form
    16,218.40/24,283.66 = 8,410.84/x
  3. Step 3: Cross multiply
    16,218.40x = 24,283.66 × 8,410.84
  4. Step 4: Simplify right side
    16,218.40x = 204,245,978.87
  5. Step 5: Solve for x
    x = 204,245,978.87/16,218.40
  6. Step 6: Final answer
    x = 12,593.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.