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Finding the Fourth Proportional to 13,425.60, 20,133.64 and 5,107.88

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Solution

The fourth proportional to 13,425.60, 20,133.64 and 5,107.88 is: 7,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.60 : 20,133.64 = 5,107.88 : x
  2. Step 2: Convert to fraction form
    13,425.60/20,133.64 = 5,107.88/x
  3. Step 3: Cross multiply
    13,425.60x = 20,133.64 × 5,107.88
  4. Step 4: Simplify right side
    13,425.60x = 102,840,217.08
  5. Step 5: Solve for x
    x = 102,840,217.08/13,425.60
  6. Step 6: Final answer
    x = 7,660.01

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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.