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Finding the Fourth Proportional to 12,709.20, 17,544.90 and 8,462.78

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Solution

The fourth proportional to 12,709.20, 17,544.90 and 8,462.78 is: 11,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.20 : 17,544.90 = 8,462.78 : x
  2. Step 2: Convert to fraction form
    12,709.20/17,544.90 = 8,462.78/x
  3. Step 3: Cross multiply
    12,709.20x = 17,544.90 × 8,462.78
  4. Step 4: Simplify right side
    12,709.20x = 148,478,541.10
  5. Step 5: Solve for x
    x = 148,478,541.10/12,709.20
  6. Step 6: Final answer
    x = 11,682.76

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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.