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Finding the Fourth Proportional to 12,485.56, 17,234.94 and 7,706.20

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Solution

The fourth proportional to 12,485.56, 17,234.94 and 7,706.20 is: 10,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485.56 : 17,234.94 = 7,706.20 : x
  2. Step 2: Convert to fraction form
    12,485.56/17,234.94 = 7,706.20/x
  3. Step 3: Cross multiply
    12,485.56x = 17,234.94 × 7,706.20
  4. Step 4: Simplify right side
    12,485.56x = 132,815,894.63
  5. Step 5: Solve for x
    x = 132,815,894.63/12,485.56
  6. Step 6: Final answer
    x = 10,637.56

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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.