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Finding the Fourth Proportional to 13,648.73, 20,469.65 and 9,688.37

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Solution

The fourth proportional to 13,648.73, 20,469.65 and 9,688.37 is: 14,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.73 : 20,469.65 = 9,688.37 : x
  2. Step 2: Convert to fraction form
    13,648.73/20,469.65 = 9,688.37/x
  3. Step 3: Cross multiply
    13,648.73x = 20,469.65 × 9,688.37
  4. Step 4: Simplify right side
    13,648.73x = 198,317,392.18
  5. Step 5: Solve for x
    x = 198,317,392.18/13,648.73
  6. Step 6: Final answer
    x = 14,530.10

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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.