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Finding the Fourth Proportional to 15,202.10, 22,805.43 and 5,339.64

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Solution

The fourth proportional to 15,202.10, 22,805.43 and 5,339.64 is: 8,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.10 : 22,805.43 = 5,339.64 : x
  2. Step 2: Convert to fraction form
    15,202.10/22,805.43 = 5,339.64/x
  3. Step 3: Cross multiply
    15,202.10x = 22,805.43 × 5,339.64
  4. Step 4: Simplify right side
    15,202.10x = 121,772,786.25
  5. Step 5: Solve for x
    x = 121,772,786.25/15,202.10
  6. Step 6: Final answer
    x = 8,010.26

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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.