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Finding the Fourth Proportional to 17,431.74, 24,046.47 and 12,117.33

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Solution

The fourth proportional to 17,431.74, 24,046.47 and 12,117.33 is: 16,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.74 : 24,046.47 = 12,117.33 : x
  2. Step 2: Convert to fraction form
    17,431.74/24,046.47 = 12,117.33/x
  3. Step 3: Cross multiply
    17,431.74x = 24,046.47 × 12,117.33
  4. Step 4: Simplify right side
    17,431.74x = 291,379,012.33
  5. Step 5: Solve for x
    x = 291,379,012.33/17,431.74
  6. Step 6: Final answer
    x = 16,715.43

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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.