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Finding the Fourth Proportional to 13,747.26, 18,971.26 and 8,442.02

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Solution

The fourth proportional to 13,747.26, 18,971.26 and 8,442.02 is: 11,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.26 : 18,971.26 = 8,442.02 : x
  2. Step 2: Convert to fraction form
    13,747.26/18,971.26 = 8,442.02/x
  3. Step 3: Cross multiply
    13,747.26x = 18,971.26 × 8,442.02
  4. Step 4: Simplify right side
    13,747.26x = 160,155,756.35
  5. Step 5: Solve for x
    x = 160,155,756.35/13,747.26
  6. Step 6: Final answer
    x = 11,650.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.