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Finding the Fourth Proportional to 13,671.09, 18,846.14 and 9,891.23

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Solution

The fourth proportional to 13,671.09, 18,846.14 and 9,891.23 is: 13,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.09 : 18,846.14 = 9,891.23 : x
  2. Step 2: Convert to fraction form
    13,671.09/18,846.14 = 9,891.23/x
  3. Step 3: Cross multiply
    13,671.09x = 18,846.14 × 9,891.23
  4. Step 4: Simplify right side
    13,671.09x = 186,411,361.67
  5. Step 5: Solve for x
    x = 186,411,361.67/13,671.09
  6. Step 6: Final answer
    x = 13,635.44

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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.