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Finding the Fourth Proportional to 12,860.56, 17,750.10 and 8,141.50

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Solution

The fourth proportional to 12,860.56, 17,750.10 and 8,141.50 is: 11,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.56 : 17,750.10 = 8,141.50 : x
  2. Step 2: Convert to fraction form
    12,860.56/17,750.10 = 8,141.50/x
  3. Step 3: Cross multiply
    12,860.56x = 17,750.10 × 8,141.50
  4. Step 4: Simplify right side
    12,860.56x = 144,512,439.15
  5. Step 5: Solve for x
    x = 144,512,439.15/12,860.56
  6. Step 6: Final answer
    x = 11,236.87

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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.