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Finding the Fourth Proportional to 13,442.44, 20,033.42 and 12,742.60

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Solution

The fourth proportional to 13,442.44, 20,033.42 and 12,742.60 is: 18,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.44 : 20,033.42 = 12,742.60 : x
  2. Step 2: Convert to fraction form
    13,442.44/20,033.42 = 12,742.60/x
  3. Step 3: Cross multiply
    13,442.44x = 20,033.42 × 12,742.60
  4. Step 4: Simplify right side
    13,442.44x = 255,277,839.46
  5. Step 5: Solve for x
    x = 255,277,839.46/13,442.44
  6. Step 6: Final answer
    x = 18,990.44

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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.