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Finding the Fourth Proportional to 13,823.52, 20,729.88 and 6,027

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Solution

The fourth proportional to 13,823.52, 20,729.88 and 6,027 is: 9,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.52 : 20,729.88 = 6,027 : x
  2. Step 2: Convert to fraction form
    13,823.52/20,729.88 = 6,027/x
  3. Step 3: Cross multiply
    13,823.52x = 20,729.88 × 6,027
  4. Step 4: Simplify right side
    13,823.52x = 124,938,986.76
  5. Step 5: Solve for x
    x = 124,938,986.76/13,823.52
  6. Step 6: Final answer
    x = 9,038.15

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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.