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Finding the Fourth Proportional to 27,602.60, 41,409.30 and 11,807.60

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Solution

The fourth proportional to 27,602.60, 41,409.30 and 11,807.60 is: 17,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.60 : 41,409.30 = 11,807.60 : x
  2. Step 2: Convert to fraction form
    27,602.60/41,409.30 = 11,807.60/x
  3. Step 3: Cross multiply
    27,602.60x = 41,409.30 × 11,807.60
  4. Step 4: Simplify right side
    27,602.60x = 488,944,450.68
  5. Step 5: Solve for x
    x = 488,944,450.68/27,602.60
  6. Step 6: Final answer
    x = 17,713.71

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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.