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Finding the Fourth Proportional to 13,774.32, 20,652.48 and 5,455.44

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Solution

The fourth proportional to 13,774.32, 20,652.48 and 5,455.44 is: 8,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.32 : 20,652.48 = 5,455.44 : x
  2. Step 2: Convert to fraction form
    13,774.32/20,652.48 = 5,455.44/x
  3. Step 3: Cross multiply
    13,774.32x = 20,652.48 × 5,455.44
  4. Step 4: Simplify right side
    13,774.32x = 112,668,365.49
  5. Step 5: Solve for x
    x = 112,668,365.49/13,774.32
  6. Step 6: Final answer
    x = 8,179.60

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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.