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Finding the Fourth Proportional to 12,827.52, 17,697.96 and 7,522.56

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Solution

The fourth proportional to 12,827.52, 17,697.96 and 7,522.56 is: 10,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.52 : 17,697.96 = 7,522.56 : x
  2. Step 2: Convert to fraction form
    12,827.52/17,697.96 = 7,522.56/x
  3. Step 3: Cross multiply
    12,827.52x = 17,697.96 × 7,522.56
  4. Step 4: Simplify right side
    12,827.52x = 133,133,965.98
  5. Step 5: Solve for x
    x = 133,133,965.98/12,827.52
  6. Step 6: Final answer
    x = 10,378.78

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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.