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Finding the Fourth Proportional to 15,732.96, 23,600.01 and 5,203.24

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Solution

The fourth proportional to 15,732.96, 23,600.01 and 5,203.24 is: 7,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.96 : 23,600.01 = 5,203.24 : x
  2. Step 2: Convert to fraction form
    15,732.96/23,600.01 = 5,203.24/x
  3. Step 3: Cross multiply
    15,732.96x = 23,600.01 × 5,203.24
  4. Step 4: Simplify right side
    15,732.96x = 122,796,447.28
  5. Step 5: Solve for x
    x = 122,796,447.28/15,732.96
  6. Step 6: Final answer
    x = 7,805.04

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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.