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Finding the Fourth Proportional to 17,157.84, 23,669.40 and 10,780.92

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Solution

The fourth proportional to 17,157.84, 23,669.40 and 10,780.92 is: 14,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.84 : 23,669.40 = 10,780.92 : x
  2. Step 2: Convert to fraction form
    17,157.84/23,669.40 = 10,780.92/x
  3. Step 3: Cross multiply
    17,157.84x = 23,669.40 × 10,780.92
  4. Step 4: Simplify right side
    17,157.84x = 255,177,907.85
  5. Step 5: Solve for x
    x = 255,177,907.85/17,157.84
  6. Step 6: Final answer
    x = 14,872.38

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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.