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Finding the Fourth Proportional to 22,885.74, 34,344 and 8,094.60

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Solution

The fourth proportional to 22,885.74, 34,344 and 8,094.60 is: 12,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885.74 : 34,344 = 8,094.60 : x
  2. Step 2: Convert to fraction form
    22,885.74/34,344 = 8,094.60/x
  3. Step 3: Cross multiply
    22,885.74x = 34,344 × 8,094.60
  4. Step 4: Simplify right side
    22,885.74x = 278,000,942.40
  5. Step 5: Solve for x
    x = 278,000,942.40/22,885.74
  6. Step 6: Final answer
    x = 12,147.34

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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.