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Finding the Fourth Proportional to 16,969.77, 23,418.42 and 9,416.61

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Solution

The fourth proportional to 16,969.77, 23,418.42 and 9,416.61 is: 12,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.77 : 23,418.42 = 9,416.61 : x
  2. Step 2: Convert to fraction form
    16,969.77/23,418.42 = 9,416.61/x
  3. Step 3: Cross multiply
    16,969.77x = 23,418.42 × 9,416.61
  4. Step 4: Simplify right side
    16,969.77x = 220,522,127.96
  5. Step 5: Solve for x
    x = 220,522,127.96/16,969.77
  6. Step 6: Final answer
    x = 12,995.00

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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.