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Finding the Fourth Proportional to 15,715.44, 23,577 and 5,327.28

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Solution

The fourth proportional to 15,715.44, 23,577 and 5,327.28 is: 7,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.44 : 23,577 = 5,327.28 : x
  2. Step 2: Convert to fraction form
    15,715.44/23,577 = 5,327.28/x
  3. Step 3: Cross multiply
    15,715.44x = 23,577 × 5,327.28
  4. Step 4: Simplify right side
    15,715.44x = 125,601,280.56
  5. Step 5: Solve for x
    x = 125,601,280.56/15,715.44
  6. Step 6: Final answer
    x = 7,992.22

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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.