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Finding the Fourth Proportional to 12,465.09, 17,234.24 and 11,914.29

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Solution

The fourth proportional to 12,465.09, 17,234.24 and 11,914.29 is: 16,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.09 : 17,234.24 = 11,914.29 : x
  2. Step 2: Convert to fraction form
    12,465.09/17,234.24 = 11,914.29/x
  3. Step 3: Cross multiply
    12,465.09x = 17,234.24 × 11,914.29
  4. Step 4: Simplify right side
    12,465.09x = 205,333,673.72
  5. Step 5: Solve for x
    x = 205,333,673.72/12,465.09
  6. Step 6: Final answer
    x = 16,472.70

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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.