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Finding the Fourth Proportional to 14,575.20, 20,127.60 and 9,621.60

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Solution

The fourth proportional to 14,575.20, 20,127.60 and 9,621.60 is: 13,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.20 : 20,127.60 = 9,621.60 : x
  2. Step 2: Convert to fraction form
    14,575.20/20,127.60 = 9,621.60/x
  3. Step 3: Cross multiply
    14,575.20x = 20,127.60 × 9,621.60
  4. Step 4: Simplify right side
    14,575.20x = 193,659,716.16
  5. Step 5: Solve for x
    x = 193,659,716.16/14,575.20
  6. Step 6: Final answer
    x = 13,286.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.