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Finding the Fourth Proportional to 19,635.97, 27,097.17 and 10,683.46

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Solution

The fourth proportional to 19,635.97, 27,097.17 and 10,683.46 is: 14,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.97 : 27,097.17 = 10,683.46 : x
  2. Step 2: Convert to fraction form
    19,635.97/27,097.17 = 10,683.46/x
  3. Step 3: Cross multiply
    19,635.97x = 27,097.17 × 10,683.46
  4. Step 4: Simplify right side
    19,635.97x = 289,491,531.81
  5. Step 5: Solve for x
    x = 289,491,531.81/19,635.97
  6. Step 6: Final answer
    x = 14,742.92

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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.