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Finding the Fourth Proportional to 22,809.84, 34,211.02 and 8,015.29

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Solution

The fourth proportional to 22,809.84, 34,211.02 and 8,015.29 is: 12,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.84 : 34,211.02 = 8,015.29 : x
  2. Step 2: Convert to fraction form
    22,809.84/34,211.02 = 8,015.29/x
  3. Step 3: Cross multiply
    22,809.84x = 34,211.02 × 8,015.29
  4. Step 4: Simplify right side
    22,809.84x = 274,211,246.50
  5. Step 5: Solve for x
    x = 274,211,246.50/22,809.84
  6. Step 6: Final answer
    x = 12,021.62

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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.