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Finding the Fourth Proportional to 13,697.50, 18,892.81 and 13,240.25

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Solution

The fourth proportional to 13,697.50, 18,892.81 and 13,240.25 is: 18,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.50 : 18,892.81 = 13,240.25 : x
  2. Step 2: Convert to fraction form
    13,697.50/18,892.81 = 13,240.25/x
  3. Step 3: Cross multiply
    13,697.50x = 18,892.81 × 13,240.25
  4. Step 4: Simplify right side
    13,697.50x = 250,145,527.60
  5. Step 5: Solve for x
    x = 250,145,527.60/13,697.50
  6. Step 6: Final answer
    x = 18,262.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.