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Finding the Fourth Proportional to 15,202.62, 22,805.24 and 4,109.26

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Solution

The fourth proportional to 15,202.62, 22,805.24 and 4,109.26 is: 6,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.62 : 22,805.24 = 4,109.26 : x
  2. Step 2: Convert to fraction form
    15,202.62/22,805.24 = 4,109.26/x
  3. Step 3: Cross multiply
    15,202.62x = 22,805.24 × 4,109.26
  4. Step 4: Simplify right side
    15,202.62x = 93,712,660.52
  5. Step 5: Solve for x
    x = 93,712,660.52/15,202.62
  6. Step 6: Final answer
    x = 6,164.24

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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.