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Finding the Fourth Proportional to 13,771.19, 20,657.80 and 3,911.26

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Solution

The fourth proportional to 13,771.19, 20,657.80 and 3,911.26 is: 5,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.19 : 20,657.80 = 3,911.26 : x
  2. Step 2: Convert to fraction form
    13,771.19/20,657.80 = 3,911.26/x
  3. Step 3: Cross multiply
    13,771.19x = 20,657.80 × 3,911.26
  4. Step 4: Simplify right side
    13,771.19x = 80,798,026.83
  5. Step 5: Solve for x
    x = 80,798,026.83/13,771.19
  6. Step 6: Final answer
    x = 5,867.18

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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.