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Finding the Fourth Proportional to 16,705, 23,052.90 and 10,081

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Solution

The fourth proportional to 16,705, 23,052.90 and 10,081 is: 13,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705 : 23,052.90 = 10,081 : x
  2. Step 2: Convert to fraction form
    16,705/23,052.90 = 10,081/x
  3. Step 3: Cross multiply
    16,705x = 23,052.90 × 10,081
  4. Step 4: Simplify right side
    16,705x = 232,396,284.90
  5. Step 5: Solve for x
    x = 232,396,284.90/16,705
  6. Step 6: Final answer
    x = 13,911.78

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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.