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Finding the Fourth Proportional to 13,411.41, 20,084.73 and 6,726.88

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Solution

The fourth proportional to 13,411.41, 20,084.73 and 6,726.88 is: 10,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.41 : 20,084.73 = 6,726.88 : x
  2. Step 2: Convert to fraction form
    13,411.41/20,084.73 = 6,726.88/x
  3. Step 3: Cross multiply
    13,411.41x = 20,084.73 × 6,726.88
  4. Step 4: Simplify right side
    13,411.41x = 135,107,568.54
  5. Step 5: Solve for x
    x = 135,107,568.54/13,411.41
  6. Step 6: Final answer
    x = 10,074.08

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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.