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Finding the Fourth Proportional to 16,176.40, 24,286.20 and 12,893.20

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Solution

The fourth proportional to 16,176.40, 24,286.20 and 12,893.20 is: 19,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.40 : 24,286.20 = 12,893.20 : x
  2. Step 2: Convert to fraction form
    16,176.40/24,286.20 = 12,893.20/x
  3. Step 3: Cross multiply
    16,176.40x = 24,286.20 × 12,893.20
  4. Step 4: Simplify right side
    16,176.40x = 313,126,833.84
  5. Step 5: Solve for x
    x = 313,126,833.84/16,176.40
  6. Step 6: Final answer
    x = 19,357.02

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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.