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Finding the Fourth Proportional to 13,845.60, 20,760.84 and 9,468

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Solution

The fourth proportional to 13,845.60, 20,760.84 and 9,468 is: 14,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845.60 : 20,760.84 = 9,468 : x
  2. Step 2: Convert to fraction form
    13,845.60/20,760.84 = 9,468/x
  3. Step 3: Cross multiply
    13,845.60x = 20,760.84 × 9,468
  4. Step 4: Simplify right side
    13,845.60x = 196,563,633.12
  5. Step 5: Solve for x
    x = 196,563,633.12/13,845.60
  6. Step 6: Final answer
    x = 14,196.83

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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.