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Finding the Fourth Proportional to 19,635.96, 27,097.02 and 10,683.24

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Solution

The fourth proportional to 19,635.96, 27,097.02 and 10,683.24 is: 14,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.96 : 27,097.02 = 10,683.24 : x
  2. Step 2: Convert to fraction form
    19,635.96/27,097.02 = 10,683.24/x
  3. Step 3: Cross multiply
    19,635.96x = 27,097.02 × 10,683.24
  4. Step 4: Simplify right side
    19,635.96x = 289,483,967.94
  5. Step 5: Solve for x
    x = 289,483,967.94/19,635.96
  6. Step 6: Final answer
    x = 14,742.54

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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.