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Finding the Fourth Proportional to 23,778.87, 32,812.18 and 13,165.84

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Solution

The fourth proportional to 23,778.87, 32,812.18 and 13,165.84 is: 18,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.87 : 32,812.18 = 13,165.84 : x
  2. Step 2: Convert to fraction form
    23,778.87/32,812.18 = 13,165.84/x
  3. Step 3: Cross multiply
    23,778.87x = 32,812.18 × 13,165.84
  4. Step 4: Simplify right side
    23,778.87x = 431,999,911.93
  5. Step 5: Solve for x
    x = 431,999,911.93/23,778.87
  6. Step 6: Final answer
    x = 18,167.39

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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.