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Finding the Fourth Proportional to 13,682.71, 18,876.81 and 7,713.01

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Solution

The fourth proportional to 13,682.71, 18,876.81 and 7,713.01 is: 10,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.71 : 18,876.81 = 7,713.01 : x
  2. Step 2: Convert to fraction form
    13,682.71/18,876.81 = 7,713.01/x
  3. Step 3: Cross multiply
    13,682.71x = 18,876.81 × 7,713.01
  4. Step 4: Simplify right side
    13,682.71x = 145,597,024.30
  5. Step 5: Solve for x
    x = 145,597,024.30/13,682.71
  6. Step 6: Final answer
    x = 10,640.95

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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.