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Finding the Fourth Proportional to 20,240.40, 27,943.60 and 12,798.48

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Solution

The fourth proportional to 20,240.40, 27,943.60 and 12,798.48 is: 17,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240.40 : 27,943.60 = 12,798.48 : x
  2. Step 2: Convert to fraction form
    20,240.40/27,943.60 = 12,798.48/x
  3. Step 3: Cross multiply
    20,240.40x = 27,943.60 × 12,798.48
  4. Step 4: Simplify right side
    20,240.40x = 357,635,605.73
  5. Step 5: Solve for x
    x = 357,635,605.73/20,240.40
  6. Step 6: Final answer
    x = 17,669.39

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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.