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Finding the Fourth Proportional to 16,957.72, 23,416.86 and 10,999

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Solution

The fourth proportional to 16,957.72, 23,416.86 and 10,999 is: 15,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,957.72 : 23,416.86 = 10,999 : x
  2. Step 2: Convert to fraction form
    16,957.72/23,416.86 = 10,999/x
  3. Step 3: Cross multiply
    16,957.72x = 23,416.86 × 10,999
  4. Step 4: Simplify right side
    16,957.72x = 257,562,043.14
  5. Step 5: Solve for x
    x = 257,562,043.14/16,957.72
  6. Step 6: Final answer
    x = 15,188.48

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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.