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Finding the Fourth Proportional to 13,697.93, 20,534.31 and 5,796.14

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Solution

The fourth proportional to 13,697.93, 20,534.31 and 5,796.14 is: 8,688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.93 : 20,534.31 = 5,796.14 : x
  2. Step 2: Convert to fraction form
    13,697.93/20,534.31 = 5,796.14/x
  3. Step 3: Cross multiply
    13,697.93x = 20,534.31 × 5,796.14
  4. Step 4: Simplify right side
    13,697.93x = 119,019,786.90
  5. Step 5: Solve for x
    x = 119,019,786.90/13,697.93
  6. Step 6: Final answer
    x = 8,688.89

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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.