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Finding the Fourth Proportional to 16,103.20, 24,133.20 and 8,314.24

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Solution

The fourth proportional to 16,103.20, 24,133.20 and 8,314.24 is: 12,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,103.20 : 24,133.20 = 8,314.24 : x
  2. Step 2: Convert to fraction form
    16,103.20/24,133.20 = 8,314.24/x
  3. Step 3: Cross multiply
    16,103.20x = 24,133.20 × 8,314.24
  4. Step 4: Simplify right side
    16,103.20x = 200,649,216.77
  5. Step 5: Solve for x
    x = 200,649,216.77/16,103.20
  6. Step 6: Final answer
    x = 12,460.21

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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.