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Finding the Fourth Proportional to 16,942, 23,379.96 and 9,490.16

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Solution

The fourth proportional to 16,942, 23,379.96 and 9,490.16 is: 13,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,942 : 23,379.96 = 9,490.16 : x
  2. Step 2: Convert to fraction form
    16,942/23,379.96 = 9,490.16/x
  3. Step 3: Cross multiply
    16,942x = 23,379.96 × 9,490.16
  4. Step 4: Simplify right side
    16,942x = 221,879,561.19
  5. Step 5: Solve for x
    x = 221,879,561.19/16,942
  6. Step 6: Final answer
    x = 13,096.42

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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.