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Finding the Fourth Proportional to 16,293.29, 22,476.92 and 9,578.60

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Solution

The fourth proportional to 16,293.29, 22,476.92 and 9,578.60 is: 13,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,293.29 : 22,476.92 = 9,578.60 : x
  2. Step 2: Convert to fraction form
    16,293.29/22,476.92 = 9,578.60/x
  3. Step 3: Cross multiply
    16,293.29x = 22,476.92 × 9,578.60
  4. Step 4: Simplify right side
    16,293.29x = 215,297,265.63
  5. Step 5: Solve for x
    x = 215,297,265.63/16,293.29
  6. Step 6: Final answer
    x = 13,213.86

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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.