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Finding the Fourth Proportional to 27,422.48, 37,842.96 and 14,847.20

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Solution

The fourth proportional to 27,422.48, 37,842.96 and 14,847.20 is: 20,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.48 : 37,842.96 = 14,847.20 : x
  2. Step 2: Convert to fraction form
    27,422.48/37,842.96 = 14,847.20/x
  3. Step 3: Cross multiply
    27,422.48x = 37,842.96 × 14,847.20
  4. Step 4: Simplify right side
    27,422.48x = 561,861,995.71
  5. Step 5: Solve for x
    x = 561,861,995.71/27,422.48
  6. Step 6: Final answer
    x = 20,489.10

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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.