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Finding the Fourth Proportional to 27,804.96, 41,710.68 and 9,086.40

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Solution

The fourth proportional to 27,804.96, 41,710.68 and 9,086.40 is: 13,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.96 : 41,710.68 = 9,086.40 : x
  2. Step 2: Convert to fraction form
    27,804.96/41,710.68 = 9,086.40/x
  3. Step 3: Cross multiply
    27,804.96x = 41,710.68 × 9,086.40
  4. Step 4: Simplify right side
    27,804.96x = 378,999,922.75
  5. Step 5: Solve for x
    x = 378,999,922.75/27,804.96
  6. Step 6: Final answer
    x = 13,630.66

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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.