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Finding the Fourth Proportional to 12,738.34, 17,575.32 and 8,262.28

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Solution

The fourth proportional to 12,738.34, 17,575.32 and 8,262.28 is: 11,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.34 : 17,575.32 = 8,262.28 : x
  2. Step 2: Convert to fraction form
    12,738.34/17,575.32 = 8,262.28/x
  3. Step 3: Cross multiply
    12,738.34x = 17,575.32 × 8,262.28
  4. Step 4: Simplify right side
    12,738.34x = 145,212,214.93
  5. Step 5: Solve for x
    x = 145,212,214.93/12,738.34
  6. Step 6: Final answer
    x = 11,399.62

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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.