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Finding the Fourth Proportional to 12,447.74, 17,177.81 and 6,782.48

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Solution

The fourth proportional to 12,447.74, 17,177.81 and 6,782.48 is: 9,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.74 : 17,177.81 = 6,782.48 : x
  2. Step 2: Convert to fraction form
    12,447.74/17,177.81 = 6,782.48/x
  3. Step 3: Cross multiply
    12,447.74x = 17,177.81 × 6,782.48
  4. Step 4: Simplify right side
    12,447.74x = 116,508,152.77
  5. Step 5: Solve for x
    x = 116,508,152.77/12,447.74
  6. Step 6: Final answer
    x = 9,359.78

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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.