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Finding the Fourth Proportional to 15,174.25, 22,765.43 and 4,786

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Solution

The fourth proportional to 15,174.25, 22,765.43 and 4,786 is: 7,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.25 : 22,765.43 = 4,786 : x
  2. Step 2: Convert to fraction form
    15,174.25/22,765.43 = 4,786/x
  3. Step 3: Cross multiply
    15,174.25x = 22,765.43 × 4,786
  4. Step 4: Simplify right side
    15,174.25x = 108,955,324.05
  5. Step 5: Solve for x
    x = 108,955,324.05/15,174.25
  6. Step 6: Final answer
    x = 7,180.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.