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Finding the Fourth Proportional to 13,447.86, 20,142.09 and 13,117.38

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Solution

The fourth proportional to 13,447.86, 20,142.09 and 13,117.38 is: 19,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.86 : 20,142.09 = 13,117.38 : x
  2. Step 2: Convert to fraction form
    13,447.86/20,142.09 = 13,117.38/x
  3. Step 3: Cross multiply
    13,447.86x = 20,142.09 × 13,117.38
  4. Step 4: Simplify right side
    13,447.86x = 264,211,448.52
  5. Step 5: Solve for x
    x = 264,211,448.52/13,447.86
  6. Step 6: Final answer
    x = 19,647.10

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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.