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Finding the Fourth Proportional to 16,382.40, 22,628.61 and 13,743.42

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Solution

The fourth proportional to 16,382.40, 22,628.61 and 13,743.42 is: 18,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.40 : 22,628.61 = 13,743.42 : x
  2. Step 2: Convert to fraction form
    16,382.40/22,628.61 = 13,743.42/x
  3. Step 3: Cross multiply
    16,382.40x = 22,628.61 × 13,743.42
  4. Step 4: Simplify right side
    16,382.40x = 310,994,491.25
  5. Step 5: Solve for x
    x = 310,994,491.25/16,382.40
  6. Step 6: Final answer
    x = 18,983.45

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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.