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Finding the Fourth Proportional to 16,383.94, 22,609.90 and 9,578.34

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Solution

The fourth proportional to 16,383.94, 22,609.90 and 9,578.34 is: 13,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.94 : 22,609.90 = 9,578.34 : x
  2. Step 2: Convert to fraction form
    16,383.94/22,609.90 = 9,578.34/x
  3. Step 3: Cross multiply
    16,383.94x = 22,609.90 × 9,578.34
  4. Step 4: Simplify right side
    16,383.94x = 216,565,309.57
  5. Step 5: Solve for x
    x = 216,565,309.57/16,383.94
  6. Step 6: Final answer
    x = 13,218.15

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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.