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Finding the Fourth Proportional to 13,892.49, 20,834.55 and 5,128.02

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Solution

The fourth proportional to 13,892.49, 20,834.55 and 5,128.02 is: 7,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.49 : 20,834.55 = 5,128.02 : x
  2. Step 2: Convert to fraction form
    13,892.49/20,834.55 = 5,128.02/x
  3. Step 3: Cross multiply
    13,892.49x = 20,834.55 × 5,128.02
  4. Step 4: Simplify right side
    13,892.49x = 106,839,989.09
  5. Step 5: Solve for x
    x = 106,839,989.09/13,892.49
  6. Step 6: Final answer
    x = 7,690.49

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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.