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Finding the Fourth Proportional to 19,635.42, 27,097.14 and 10,683.03

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Solution

The fourth proportional to 19,635.42, 27,097.14 and 10,683.03 is: 14,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.42 : 27,097.14 = 10,683.03 : x
  2. Step 2: Convert to fraction form
    19,635.42/27,097.14 = 10,683.03/x
  3. Step 3: Cross multiply
    19,635.42x = 27,097.14 × 10,683.03
  4. Step 4: Simplify right side
    19,635.42x = 289,479,424.05
  5. Step 5: Solve for x
    x = 289,479,424.05/19,635.42
  6. Step 6: Final answer
    x = 14,742.72

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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.