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Finding the Fourth Proportional to 20,857.12, 31,283.84 and 7,709.60

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Solution

The fourth proportional to 20,857.12, 31,283.84 and 7,709.60 is: 11,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.12 : 31,283.84 = 7,709.60 : x
  2. Step 2: Convert to fraction form
    20,857.12/31,283.84 = 7,709.60/x
  3. Step 3: Cross multiply
    20,857.12x = 31,283.84 × 7,709.60
  4. Step 4: Simplify right side
    20,857.12x = 241,185,892.86
  5. Step 5: Solve for x
    x = 241,185,892.86/20,857.12
  6. Step 6: Final answer
    x = 11,563.72

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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.