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Finding the Fourth Proportional to 13,883.60, 20,812.80 and 5,116.40

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Solution

The fourth proportional to 13,883.60, 20,812.80 and 5,116.40 is: 7,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.60 : 20,812.80 = 5,116.40 : x
  2. Step 2: Convert to fraction form
    13,883.60/20,812.80 = 5,116.40/x
  3. Step 3: Cross multiply
    13,883.60x = 20,812.80 × 5,116.40
  4. Step 4: Simplify right side
    13,883.60x = 106,486,609.92
  5. Step 5: Solve for x
    x = 106,486,609.92/13,883.60
  6. Step 6: Final answer
    x = 7,669.96

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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.