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Finding the Fourth Proportional to 13,798.34, 20,700.56 and 5,033.22

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Solution

The fourth proportional to 13,798.34, 20,700.56 and 5,033.22 is: 7,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.34 : 20,700.56 = 5,033.22 : x
  2. Step 2: Convert to fraction form
    13,798.34/20,700.56 = 5,033.22/x
  3. Step 3: Cross multiply
    13,798.34x = 20,700.56 × 5,033.22
  4. Step 4: Simplify right side
    13,798.34x = 104,190,447.44
  5. Step 5: Solve for x
    x = 104,190,447.44/13,798.34
  6. Step 6: Final answer
    x = 7,550.94

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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.