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Finding the Fourth Proportional to 22,956, 34,401.68 and 18,255.16

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Solution

The fourth proportional to 22,956, 34,401.68 and 18,255.16 is: 27,357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956 : 34,401.68 = 18,255.16 : x
  2. Step 2: Convert to fraction form
    22,956/34,401.68 = 18,255.16/x
  3. Step 3: Cross multiply
    22,956x = 34,401.68 × 18,255.16
  4. Step 4: Simplify right side
    22,956x = 628,008,172.67
  5. Step 5: Solve for x
    x = 628,008,172.67/22,956
  6. Step 6: Final answer
    x = 27,357.04

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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.