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Finding the Fourth Proportional to 13,033.44, 19,555.20 and 5,640.48

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Solution

The fourth proportional to 13,033.44, 19,555.20 and 5,640.48 is: 8,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.44 : 19,555.20 = 5,640.48 : x
  2. Step 2: Convert to fraction form
    13,033.44/19,555.20 = 5,640.48/x
  3. Step 3: Cross multiply
    13,033.44x = 19,555.20 × 5,640.48
  4. Step 4: Simplify right side
    13,033.44x = 110,300,714.50
  5. Step 5: Solve for x
    x = 110,300,714.50/13,033.44
  6. Step 6: Final answer
    x = 8,462.90

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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.