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Finding the Fourth Proportional to 16,448.27, 22,696.94 and 9,732.59

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Solution

The fourth proportional to 16,448.27, 22,696.94 and 9,732.59 is: 13,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.27 : 22,696.94 = 9,732.59 : x
  2. Step 2: Convert to fraction form
    16,448.27/22,696.94 = 9,732.59/x
  3. Step 3: Cross multiply
    16,448.27x = 22,696.94 × 9,732.59
  4. Step 4: Simplify right side
    16,448.27x = 220,899,922.12
  5. Step 5: Solve for x
    x = 220,899,922.12/16,448.27
  6. Step 6: Final answer
    x = 13,429.98

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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.