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Finding the Fourth Proportional to 13,884.60, 20,813.52 and 5,114.72

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Solution

The fourth proportional to 13,884.60, 20,813.52 and 5,114.72 is: 7,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.60 : 20,813.52 = 5,114.72 : x
  2. Step 2: Convert to fraction form
    13,884.60/20,813.52 = 5,114.72/x
  3. Step 3: Cross multiply
    13,884.60x = 20,813.52 × 5,114.72
  4. Step 4: Simplify right side
    13,884.60x = 106,455,327.01
  5. Step 5: Solve for x
    x = 106,455,327.01/13,884.60
  6. Step 6: Final answer
    x = 7,667.15

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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.