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Finding the Fourth Proportional to 13,576.16, 20,350.03 and 5,683.20

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Solution

The fourth proportional to 13,576.16, 20,350.03 and 5,683.20 is: 8,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.16 : 20,350.03 = 5,683.20 : x
  2. Step 2: Convert to fraction form
    13,576.16/20,350.03 = 5,683.20/x
  3. Step 3: Cross multiply
    13,576.16x = 20,350.03 × 5,683.20
  4. Step 4: Simplify right side
    13,576.16x = 115,653,290.50
  5. Step 5: Solve for x
    x = 115,653,290.50/13,576.16
  6. Step 6: Final answer
    x = 8,518.85

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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.