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Finding the Fourth Proportional to 14,489.20, 21,735 and 4,629.88

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Solution

The fourth proportional to 14,489.20, 21,735 and 4,629.88 is: 6,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.20 : 21,735 = 4,629.88 : x
  2. Step 2: Convert to fraction form
    14,489.20/21,735 = 4,629.88/x
  3. Step 3: Cross multiply
    14,489.20x = 21,735 × 4,629.88
  4. Step 4: Simplify right side
    14,489.20x = 100,630,441.80
  5. Step 5: Solve for x
    x = 100,630,441.80/14,489.20
  6. Step 6: Final answer
    x = 6,945.20

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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.