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Finding the Fourth Proportional to 22,855.53, 34,315.02 and 11,770.14

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Solution

The fourth proportional to 22,855.53, 34,315.02 and 11,770.14 is: 17,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.53 : 34,315.02 = 11,770.14 : x
  2. Step 2: Convert to fraction form
    22,855.53/34,315.02 = 11,770.14/x
  3. Step 3: Cross multiply
    22,855.53x = 34,315.02 × 11,770.14
  4. Step 4: Simplify right side
    22,855.53x = 403,892,589.50
  5. Step 5: Solve for x
    x = 403,892,589.50/22,855.53
  6. Step 6: Final answer
    x = 17,671.55

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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.