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Finding the Fourth Proportional to 12,850.71, 17,733 and 7,814.24

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Solution

The fourth proportional to 12,850.71, 17,733 and 7,814.24 is: 10,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.71 : 17,733 = 7,814.24 : x
  2. Step 2: Convert to fraction form
    12,850.71/17,733 = 7,814.24/x
  3. Step 3: Cross multiply
    12,850.71x = 17,733 × 7,814.24
  4. Step 4: Simplify right side
    12,850.71x = 138,569,917.92
  5. Step 5: Solve for x
    x = 138,569,917.92/12,850.71
  6. Step 6: Final answer
    x = 10,783.06

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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.