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Finding the Fourth Proportional to 13,682.08, 18,880.80 and 7,713.92

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Solution

The fourth proportional to 13,682.08, 18,880.80 and 7,713.92 is: 10,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.08 : 18,880.80 = 7,713.92 : x
  2. Step 2: Convert to fraction form
    13,682.08/18,880.80 = 7,713.92/x
  3. Step 3: Cross multiply
    13,682.08x = 18,880.80 × 7,713.92
  4. Step 4: Simplify right side
    13,682.08x = 145,644,980.74
  5. Step 5: Solve for x
    x = 145,644,980.74/13,682.08
  6. Step 6: Final answer
    x = 10,644.94

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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.