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Finding the Fourth Proportional to 16,168.77, 24,233.31 and 7,725.60

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Solution

The fourth proportional to 16,168.77, 24,233.31 and 7,725.60 is: 11,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,168.77 : 24,233.31 = 7,725.60 : x
  2. Step 2: Convert to fraction form
    16,168.77/24,233.31 = 7,725.60/x
  3. Step 3: Cross multiply
    16,168.77x = 24,233.31 × 7,725.60
  4. Step 4: Simplify right side
    16,168.77x = 187,216,859.74
  5. Step 5: Solve for x
    x = 187,216,859.74/16,168.77
  6. Step 6: Final answer
    x = 11,578.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.