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Finding the Fourth Proportional to 13,425.60, 20,141.88 and 5,105.76

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Solution

The fourth proportional to 13,425.60, 20,141.88 and 5,105.76 is: 7,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.60 : 20,141.88 = 5,105.76 : x
  2. Step 2: Convert to fraction form
    13,425.60/20,141.88 = 5,105.76/x
  3. Step 3: Cross multiply
    13,425.60x = 20,141.88 × 5,105.76
  4. Step 4: Simplify right side
    13,425.60x = 102,839,605.23
  5. Step 5: Solve for x
    x = 102,839,605.23/13,425.60
  6. Step 6: Final answer
    x = 7,659.96

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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.