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Finding the Fourth Proportional to 14,485.20, 21,727.80 and 9,819.60

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Solution

The fourth proportional to 14,485.20, 21,727.80 and 9,819.60 is: 14,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,485.20 : 21,727.80 = 9,819.60 : x
  2. Step 2: Convert to fraction form
    14,485.20/21,727.80 = 9,819.60/x
  3. Step 3: Cross multiply
    14,485.20x = 21,727.80 × 9,819.60
  4. Step 4: Simplify right side
    14,485.20x = 213,358,304.88
  5. Step 5: Solve for x
    x = 213,358,304.88/14,485.20
  6. Step 6: Final answer
    x = 14,729.40

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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.