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Finding the Fourth Proportional to 15,744.75, 23,593.32 and 9,497.82

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Solution

The fourth proportional to 15,744.75, 23,593.32 and 9,497.82 is: 14,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.75 : 23,593.32 = 9,497.82 : x
  2. Step 2: Convert to fraction form
    15,744.75/23,593.32 = 9,497.82/x
  3. Step 3: Cross multiply
    15,744.75x = 23,593.32 × 9,497.82
  4. Step 4: Simplify right side
    15,744.75x = 224,085,106.56
  5. Step 5: Solve for x
    x = 224,085,106.56/15,744.75
  6. Step 6: Final answer
    x = 14,232.37

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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.