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Finding the Fourth Proportional to 16,706, 23,047.92 and 11,043.44

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Solution

The fourth proportional to 16,706, 23,047.92 and 11,043.44 is: 15,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706 : 23,047.92 = 11,043.44 : x
  2. Step 2: Convert to fraction form
    16,706/23,047.92 = 11,043.44/x
  3. Step 3: Cross multiply
    16,706x = 23,047.92 × 11,043.44
  4. Step 4: Simplify right side
    16,706x = 254,528,321.64
  5. Step 5: Solve for x
    x = 254,528,321.64/16,706
  6. Step 6: Final answer
    x = 15,235.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.