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Finding the Fourth Proportional to 19,814.71, 27,344.11 and 10,862.37

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Solution

The fourth proportional to 19,814.71, 27,344.11 and 10,862.37 is: 14,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.71 : 27,344.11 = 10,862.37 : x
  2. Step 2: Convert to fraction form
    19,814.71/27,344.11 = 10,862.37/x
  3. Step 3: Cross multiply
    19,814.71x = 27,344.11 × 10,862.37
  4. Step 4: Simplify right side
    19,814.71x = 297,021,687.44
  5. Step 5: Solve for x
    x = 297,021,687.44/19,814.71
  6. Step 6: Final answer
    x = 14,989.96

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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.