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Finding the Fourth Proportional to 17,051.82, 25,578.41 and 8,729.60

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Solution

The fourth proportional to 17,051.82, 25,578.41 and 8,729.60 is: 13,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.82 : 25,578.41 = 8,729.60 : x
  2. Step 2: Convert to fraction form
    17,051.82/25,578.41 = 8,729.60/x
  3. Step 3: Cross multiply
    17,051.82x = 25,578.41 × 8,729.60
  4. Step 4: Simplify right side
    17,051.82x = 223,289,116.40
  5. Step 5: Solve for x
    x = 223,289,116.40/17,051.82
  6. Step 6: Final answer
    x = 13,094.74

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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.