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Finding the Fourth Proportional to 16,409.06, 22,674.12 and 11,685.14

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Solution

The fourth proportional to 16,409.06, 22,674.12 and 11,685.14 is: 16,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.06 : 22,674.12 = 11,685.14 : x
  2. Step 2: Convert to fraction form
    16,409.06/22,674.12 = 11,685.14/x
  3. Step 3: Cross multiply
    16,409.06x = 22,674.12 × 11,685.14
  4. Step 4: Simplify right side
    16,409.06x = 264,950,266.58
  5. Step 5: Solve for x
    x = 264,950,266.58/16,409.06
  6. Step 6: Final answer
    x = 16,146.58

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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.