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Finding the Fourth Proportional to 19,683.48, 29,509.97 and 13,428.12

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Solution

The fourth proportional to 19,683.48, 29,509.97 and 13,428.12 is: 20,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.48 : 29,509.97 = 13,428.12 : x
  2. Step 2: Convert to fraction form
    19,683.48/29,509.97 = 13,428.12/x
  3. Step 3: Cross multiply
    19,683.48x = 29,509.97 × 13,428.12
  4. Step 4: Simplify right side
    19,683.48x = 396,263,351.22
  5. Step 5: Solve for x
    x = 396,263,351.22/19,683.48
  6. Step 6: Final answer
    x = 20,131.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.