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Finding the Fourth Proportional to 12,447.60, 17,177.61 and 6,782.68

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Solution

The fourth proportional to 12,447.60, 17,177.61 and 6,782.68 is: 9,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.60 : 17,177.61 = 6,782.68 : x
  2. Step 2: Convert to fraction form
    12,447.60/17,177.61 = 6,782.68/x
  3. Step 3: Cross multiply
    12,447.60x = 17,177.61 × 6,782.68
  4. Step 4: Simplify right side
    12,447.60x = 116,510,231.79
  5. Step 5: Solve for x
    x = 116,510,231.79/12,447.60
  6. Step 6: Final answer
    x = 9,360.06

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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.