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Finding the Fourth Proportional to 15,022.48, 20,730.39 and 8,216.39

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Solution

The fourth proportional to 15,022.48, 20,730.39 and 8,216.39 is: 11,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.48 : 20,730.39 = 8,216.39 : x
  2. Step 2: Convert to fraction form
    15,022.48/20,730.39 = 8,216.39/x
  3. Step 3: Cross multiply
    15,022.48x = 20,730.39 × 8,216.39
  4. Step 4: Simplify right side
    15,022.48x = 170,328,969.09
  5. Step 5: Solve for x
    x = 170,328,969.09/15,022.48
  6. Step 6: Final answer
    x = 11,338.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.