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Finding the Fourth Proportional to 12,057.76, 18,074.24 and 6,852.64

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Solution

The fourth proportional to 12,057.76, 18,074.24 and 6,852.64 is: 10,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.76 : 18,074.24 = 6,852.64 : x
  2. Step 2: Convert to fraction form
    12,057.76/18,074.24 = 6,852.64/x
  3. Step 3: Cross multiply
    12,057.76x = 18,074.24 × 6,852.64
  4. Step 4: Simplify right side
    12,057.76x = 123,856,259.99
  5. Step 5: Solve for x
    x = 123,856,259.99/12,057.76
  6. Step 6: Final answer
    x = 10,271.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.