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Finding the Fourth Proportional to 16,540.70, 24,811.05 and 4,228.70

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Solution

The fourth proportional to 16,540.70, 24,811.05 and 4,228.70 is: 6,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.70 : 24,811.05 = 4,228.70 : x
  2. Step 2: Convert to fraction form
    16,540.70/24,811.05 = 4,228.70/x
  3. Step 3: Cross multiply
    16,540.70x = 24,811.05 × 4,228.70
  4. Step 4: Simplify right side
    16,540.70x = 104,918,487.14
  5. Step 5: Solve for x
    x = 104,918,487.14/16,540.70
  6. Step 6: Final answer
    x = 6,343.05

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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.