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Finding the Fourth Proportional to 16,124.56, 24,193.80 and 8,338.84

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Solution

The fourth proportional to 16,124.56, 24,193.80 and 8,338.84 is: 12,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.56 : 24,193.80 = 8,338.84 : x
  2. Step 2: Convert to fraction form
    16,124.56/24,193.80 = 8,338.84/x
  3. Step 3: Cross multiply
    16,124.56x = 24,193.80 × 8,338.84
  4. Step 4: Simplify right side
    16,124.56x = 201,748,227.19
  5. Step 5: Solve for x
    x = 201,748,227.19/16,124.56
  6. Step 6: Final answer
    x = 12,511.86

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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.