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Finding the Fourth Proportional to 13,597.96, 20,385.96 and 5,273.68

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Solution

The fourth proportional to 13,597.96, 20,385.96 and 5,273.68 is: 7,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.96 : 20,385.96 = 5,273.68 : x
  2. Step 2: Convert to fraction form
    13,597.96/20,385.96 = 5,273.68/x
  3. Step 3: Cross multiply
    13,597.96x = 20,385.96 × 5,273.68
  4. Step 4: Simplify right side
    13,597.96x = 107,509,029.53
  5. Step 5: Solve for x
    x = 107,509,029.53/13,597.96
  6. Step 6: Final answer
    x = 7,906.26

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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.