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Finding the Fourth Proportional to 17,966, 26,953.36 and 5,654

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Solution

The fourth proportional to 17,966, 26,953.36 and 5,654 is: 8,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966 : 26,953.36 = 5,654 : x
  2. Step 2: Convert to fraction form
    17,966/26,953.36 = 5,654/x
  3. Step 3: Cross multiply
    17,966x = 26,953.36 × 5,654
  4. Step 4: Simplify right side
    17,966x = 152,394,297.44
  5. Step 5: Solve for x
    x = 152,394,297.44/17,966
  6. Step 6: Final answer
    x = 8,482.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.