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Finding the Fourth Proportional to 12,133.10, 16,739.67 and 9,891.11

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Solution

The fourth proportional to 12,133.10, 16,739.67 and 9,891.11 is: 13,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.10 : 16,739.67 = 9,891.11 : x
  2. Step 2: Convert to fraction form
    12,133.10/16,739.67 = 9,891.11/x
  3. Step 3: Cross multiply
    12,133.10x = 16,739.67 × 9,891.11
  4. Step 4: Simplify right side
    12,133.10x = 165,573,922.09
  5. Step 5: Solve for x
    x = 165,573,922.09/12,133.10
  6. Step 6: Final answer
    x = 13,646.46

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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.