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Finding the Fourth Proportional to 16,968.29, 23,416.07 and 9,414.64

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Solution

The fourth proportional to 16,968.29, 23,416.07 and 9,414.64 is: 12,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,968.29 : 23,416.07 = 9,414.64 : x
  2. Step 2: Convert to fraction form
    16,968.29/23,416.07 = 9,414.64/x
  3. Step 3: Cross multiply
    16,968.29x = 23,416.07 × 9,414.64
  4. Step 4: Simplify right side
    16,968.29x = 220,453,834.26
  5. Step 5: Solve for x
    x = 220,453,834.26/16,968.29
  6. Step 6: Final answer
    x = 12,992.10

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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.