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Finding the Fourth Proportional to 13,434.60, 20,108.73 and 7,178.97

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Solution

The fourth proportional to 13,434.60, 20,108.73 and 7,178.97 is: 10,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.60 : 20,108.73 = 7,178.97 : x
  2. Step 2: Convert to fraction form
    13,434.60/20,108.73 = 7,178.97/x
  3. Step 3: Cross multiply
    13,434.60x = 20,108.73 × 7,178.97
  4. Step 4: Simplify right side
    13,434.60x = 144,359,969.41
  5. Step 5: Solve for x
    x = 144,359,969.41/13,434.60
  6. Step 6: Final answer
    x = 10,745.39

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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.