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Finding the Fourth Proportional to 13,204.54, 19,690.43 and 13,086.10

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Solution

The fourth proportional to 13,204.54, 19,690.43 and 13,086.10 is: 19,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.54 : 19,690.43 = 13,086.10 : x
  2. Step 2: Convert to fraction form
    13,204.54/19,690.43 = 13,086.10/x
  3. Step 3: Cross multiply
    13,204.54x = 19,690.43 × 13,086.10
  4. Step 4: Simplify right side
    13,204.54x = 257,670,936.02
  5. Step 5: Solve for x
    x = 257,670,936.02/13,204.54
  6. Step 6: Final answer
    x = 19,513.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.