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Finding the Fourth Proportional to 12,895.27, 17,795.53 and 8,416.37

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Solution

The fourth proportional to 12,895.27, 17,795.53 and 8,416.37 is: 11,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895.27 : 17,795.53 = 8,416.37 : x
  2. Step 2: Convert to fraction form
    12,895.27/17,795.53 = 8,416.37/x
  3. Step 3: Cross multiply
    12,895.27x = 17,795.53 × 8,416.37
  4. Step 4: Simplify right side
    12,895.27x = 149,773,819.84
  5. Step 5: Solve for x
    x = 149,773,819.84/12,895.27
  6. Step 6: Final answer
    x = 11,614.63

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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.