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Finding the Fourth Proportional to 19,635.90, 27,097.68 and 10,683.27

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Solution

The fourth proportional to 19,635.90, 27,097.68 and 10,683.27 is: 14,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.90 : 27,097.68 = 10,683.27 : x
  2. Step 2: Convert to fraction form
    19,635.90/27,097.68 = 10,683.27/x
  3. Step 3: Cross multiply
    19,635.90x = 27,097.68 × 10,683.27
  4. Step 4: Simplify right side
    19,635.90x = 289,491,831.81
  5. Step 5: Solve for x
    x = 289,491,831.81/19,635.90
  6. Step 6: Final answer
    x = 14,742.99

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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.