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Finding the Fourth Proportional to 27,224.39, 40,842.39 and 9,455.60

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Solution

The fourth proportional to 27,224.39, 40,842.39 and 9,455.60 is: 14,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.39 : 40,842.39 = 9,455.60 : x
  2. Step 2: Convert to fraction form
    27,224.39/40,842.39 = 9,455.60/x
  3. Step 3: Cross multiply
    27,224.39x = 40,842.39 × 9,455.60
  4. Step 4: Simplify right side
    27,224.39x = 386,189,098.67
  5. Step 5: Solve for x
    x = 386,189,098.67/27,224.39
  6. Step 6: Final answer
    x = 14,185.41

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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.