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Finding the Fourth Proportional to 12,756.42, 19,133.69 and 7,826.76

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Solution

The fourth proportional to 12,756.42, 19,133.69 and 7,826.76 is: 11,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.42 : 19,133.69 = 7,826.76 : x
  2. Step 2: Convert to fraction form
    12,756.42/19,133.69 = 7,826.76/x
  3. Step 3: Cross multiply
    12,756.42x = 19,133.69 × 7,826.76
  4. Step 4: Simplify right side
    12,756.42x = 149,754,760.41
  5. Step 5: Solve for x
    x = 149,754,760.41/12,756.42
  6. Step 6: Final answer
    x = 11,739.56

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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.