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Finding the Fourth Proportional to 13,576.70, 20,350.20 and 4,807.10

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Solution

The fourth proportional to 13,576.70, 20,350.20 and 4,807.10 is: 7,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.70 : 20,350.20 = 4,807.10 : x
  2. Step 2: Convert to fraction form
    13,576.70/20,350.20 = 4,807.10/x
  3. Step 3: Cross multiply
    13,576.70x = 20,350.20 × 4,807.10
  4. Step 4: Simplify right side
    13,576.70x = 97,825,446.42
  5. Step 5: Solve for x
    x = 97,825,446.42/13,576.70
  6. Step 6: Final answer
    x = 7,205.39

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Why These Related Problems?

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