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Finding the Fourth Proportional to 15,201.96, 22,805.34 and 5,342.22

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Solution

The fourth proportional to 15,201.96, 22,805.34 and 5,342.22 is: 8,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.96 : 22,805.34 = 5,342.22 : x
  2. Step 2: Convert to fraction form
    15,201.96/22,805.34 = 5,342.22/x
  3. Step 3: Cross multiply
    15,201.96x = 22,805.34 × 5,342.22
  4. Step 4: Simplify right side
    15,201.96x = 121,831,143.45
  5. Step 5: Solve for x
    x = 121,831,143.45/15,201.96
  6. Step 6: Final answer
    x = 8,014.17

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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.