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Finding the Fourth Proportional to 12,685.70, 17,505.08 and 8,589.17

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Solution

The fourth proportional to 12,685.70, 17,505.08 and 8,589.17 is: 11,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.70 : 17,505.08 = 8,589.17 : x
  2. Step 2: Convert to fraction form
    12,685.70/17,505.08 = 8,589.17/x
  3. Step 3: Cross multiply
    12,685.70x = 17,505.08 × 8,589.17
  4. Step 4: Simplify right side
    12,685.70x = 150,354,173.22
  5. Step 5: Solve for x
    x = 150,354,173.22/12,685.70
  6. Step 6: Final answer
    x = 11,852.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.