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Finding the Fourth Proportional to 12,823.92, 17,697.24 and 7,522.56

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Solution

The fourth proportional to 12,823.92, 17,697.24 and 7,522.56 is: 10,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.92 : 17,697.24 = 7,522.56 : x
  2. Step 2: Convert to fraction form
    12,823.92/17,697.24 = 7,522.56/x
  3. Step 3: Cross multiply
    12,823.92x = 17,697.24 × 7,522.56
  4. Step 4: Simplify right side
    12,823.92x = 133,128,549.73
  5. Step 5: Solve for x
    x = 133,128,549.73/12,823.92
  6. Step 6: Final answer
    x = 10,381.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.