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Finding the Fourth Proportional to 17,185, 23,711.46 and 10,111.72

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Solution

The fourth proportional to 17,185, 23,711.46 and 10,111.72 is: 13,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185 : 23,711.46 = 10,111.72 : x
  2. Step 2: Convert to fraction form
    17,185/23,711.46 = 10,111.72/x
  3. Step 3: Cross multiply
    17,185x = 23,711.46 × 10,111.72
  4. Step 4: Simplify right side
    17,185x = 239,763,644.31
  5. Step 5: Solve for x
    x = 239,763,644.31/17,185
  6. Step 6: Final answer
    x = 13,951.91

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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.