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Finding the Fourth Proportional to 15,202.80, 22,796.10 and 6,427.80

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Solution

The fourth proportional to 15,202.80, 22,796.10 and 6,427.80 is: 9,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.80 : 22,796.10 = 6,427.80 : x
  2. Step 2: Convert to fraction form
    15,202.80/22,796.10 = 6,427.80/x
  3. Step 3: Cross multiply
    15,202.80x = 22,796.10 × 6,427.80
  4. Step 4: Simplify right side
    15,202.80x = 146,528,771.58
  5. Step 5: Solve for x
    x = 146,528,771.58/15,202.80
  6. Step 6: Final answer
    x = 9,638.28

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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.