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Finding the Fourth Proportional to 22,666, 34,000.22 and 7,084.84

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Solution

The fourth proportional to 22,666, 34,000.22 and 7,084.84 is: 10,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666 : 34,000.22 = 7,084.84 : x
  2. Step 2: Convert to fraction form
    22,666/34,000.22 = 7,084.84/x
  3. Step 3: Cross multiply
    22,666x = 34,000.22 × 7,084.84
  4. Step 4: Simplify right side
    22,666x = 240,886,118.66
  5. Step 5: Solve for x
    x = 240,886,118.66/22,666
  6. Step 6: Final answer
    x = 10,627.64

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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.