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Finding the Fourth Proportional to 15,342.96, 22,997.16 and 7,557.24

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Solution

The fourth proportional to 15,342.96, 22,997.16 and 7,557.24 is: 11,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.96 : 22,997.16 = 7,557.24 : x
  2. Step 2: Convert to fraction form
    15,342.96/22,997.16 = 7,557.24/x
  3. Step 3: Cross multiply
    15,342.96x = 22,997.16 × 7,557.24
  4. Step 4: Simplify right side
    15,342.96x = 173,795,057.44
  5. Step 5: Solve for x
    x = 173,795,057.44/15,342.96
  6. Step 6: Final answer
    x = 11,327.35

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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.