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Finding the Fourth Proportional to 19,842.68, 27,385.26 and 11,459

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Solution

The fourth proportional to 19,842.68, 27,385.26 and 11,459 is: 15,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.68 : 27,385.26 = 11,459 : x
  2. Step 2: Convert to fraction form
    19,842.68/27,385.26 = 11,459/x
  3. Step 3: Cross multiply
    19,842.68x = 27,385.26 × 11,459
  4. Step 4: Simplify right side
    19,842.68x = 313,807,694.34
  5. Step 5: Solve for x
    x = 313,807,694.34/19,842.68
  6. Step 6: Final answer
    x = 15,814.78

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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.