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Finding the Fourth Proportional to 22,290.52, 30,765.46 and 12,857.80

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Solution

The fourth proportional to 22,290.52, 30,765.46 and 12,857.80 is: 17,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,290.52 : 30,765.46 = 12,857.80 : x
  2. Step 2: Convert to fraction form
    22,290.52/30,765.46 = 12,857.80/x
  3. Step 3: Cross multiply
    22,290.52x = 30,765.46 × 12,857.80
  4. Step 4: Simplify right side
    22,290.52x = 395,576,131.59
  5. Step 5: Solve for x
    x = 395,576,131.59/22,290.52
  6. Step 6: Final answer
    x = 17,746.38

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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.