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Finding the Fourth Proportional to 23,679.75, 32,677.89 and 13,069.38

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Solution

The fourth proportional to 23,679.75, 32,677.89 and 13,069.38 is: 18,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,679.75 : 32,677.89 = 13,069.38 : x
  2. Step 2: Convert to fraction form
    23,679.75/32,677.89 = 13,069.38/x
  3. Step 3: Cross multiply
    23,679.75x = 32,677.89 × 13,069.38
  4. Step 4: Simplify right side
    23,679.75x = 427,079,802.86
  5. Step 5: Solve for x
    x = 427,079,802.86/23,679.75
  6. Step 6: Final answer
    x = 18,035.66

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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.