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Finding the Fourth Proportional to 12,850.72, 17,723.84 and 8,376

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Solution

The fourth proportional to 12,850.72, 17,723.84 and 8,376 is: 11,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.72 : 17,723.84 = 8,376 : x
  2. Step 2: Convert to fraction form
    12,850.72/17,723.84 = 8,376/x
  3. Step 3: Cross multiply
    12,850.72x = 17,723.84 × 8,376
  4. Step 4: Simplify right side
    12,850.72x = 148,454,883.84
  5. Step 5: Solve for x
    x = 148,454,883.84/12,850.72
  6. Step 6: Final answer
    x = 11,552.26

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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.