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Finding the Fourth Proportional to 27,242.46, 40,842.92 and 14,086.44

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Solution

The fourth proportional to 27,242.46, 40,842.92 and 14,086.44 is: 21,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242.46 : 40,842.92 = 14,086.44 : x
  2. Step 2: Convert to fraction form
    27,242.46/40,842.92 = 14,086.44/x
  3. Step 3: Cross multiply
    27,242.46x = 40,842.92 × 14,086.44
  4. Step 4: Simplify right side
    27,242.46x = 575,331,342.00
  5. Step 5: Solve for x
    x = 575,331,342.00/27,242.46
  6. Step 6: Final answer
    x = 21,118.92

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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.