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Finding the Fourth Proportional to 17,797.56, 26,692.20 and 6,705.36

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Solution

The fourth proportional to 17,797.56, 26,692.20 and 6,705.36 is: 10,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.56 : 26,692.20 = 6,705.36 : x
  2. Step 2: Convert to fraction form
    17,797.56/26,692.20 = 6,705.36/x
  3. Step 3: Cross multiply
    17,797.56x = 26,692.20 × 6,705.36
  4. Step 4: Simplify right side
    17,797.56x = 178,980,810.19
  5. Step 5: Solve for x
    x = 178,980,810.19/17,797.56
  6. Step 6: Final answer
    x = 10,056.48

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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.