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Finding the Fourth Proportional to 12,561.57, 17,336.61 and 7,256.43

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Solution

The fourth proportional to 12,561.57, 17,336.61 and 7,256.43 is: 10,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.57 : 17,336.61 = 7,256.43 : x
  2. Step 2: Convert to fraction form
    12,561.57/17,336.61 = 7,256.43/x
  3. Step 3: Cross multiply
    12,561.57x = 17,336.61 × 7,256.43
  4. Step 4: Simplify right side
    12,561.57x = 125,801,896.90
  5. Step 5: Solve for x
    x = 125,801,896.90/12,561.57
  6. Step 6: Final answer
    x = 10,014.82

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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.