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Finding the Fourth Proportional to 16,568.16, 22,872.53 and 12,782.82

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Solution

The fourth proportional to 16,568.16, 22,872.53 and 12,782.82 is: 17,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,568.16 : 22,872.53 = 12,782.82 : x
  2. Step 2: Convert to fraction form
    16,568.16/22,872.53 = 12,782.82/x
  3. Step 3: Cross multiply
    16,568.16x = 22,872.53 × 12,782.82
  4. Step 4: Simplify right side
    16,568.16x = 292,375,433.93
  5. Step 5: Solve for x
    x = 292,375,433.93/16,568.16
  6. Step 6: Final answer
    x = 17,646.83

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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.