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Finding the Fourth Proportional to 13,489.16, 20,133.86 and 12,658.10

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Solution

The fourth proportional to 13,489.16, 20,133.86 and 12,658.10 is: 18,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.16 : 20,133.86 = 12,658.10 : x
  2. Step 2: Convert to fraction form
    13,489.16/20,133.86 = 12,658.10/x
  3. Step 3: Cross multiply
    13,489.16x = 20,133.86 × 12,658.10
  4. Step 4: Simplify right side
    13,489.16x = 254,856,413.27
  5. Step 5: Solve for x
    x = 254,856,413.27/13,489.16
  6. Step 6: Final answer
    x = 18,893.42

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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.