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Finding the Fourth Proportional to 13,683.25, 20,425.92 and 12,022.50

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Solution

The fourth proportional to 13,683.25, 20,425.92 and 12,022.50 is: 17,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.25 : 20,425.92 = 12,022.50 : x
  2. Step 2: Convert to fraction form
    13,683.25/20,425.92 = 12,022.50/x
  3. Step 3: Cross multiply
    13,683.25x = 20,425.92 × 12,022.50
  4. Step 4: Simplify right side
    13,683.25x = 245,570,664.89
  5. Step 5: Solve for x
    x = 245,570,664.89/13,683.25
  6. Step 6: Final answer
    x = 17,946.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.