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Finding the Fourth Proportional to 22,811.85, 34,214.04 and 8,017.29

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Solution

The fourth proportional to 22,811.85, 34,214.04 and 8,017.29 is: 12,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.85 : 34,214.04 = 8,017.29 : x
  2. Step 2: Convert to fraction form
    22,811.85/34,214.04 = 8,017.29/x
  3. Step 3: Cross multiply
    22,811.85x = 34,214.04 × 8,017.29
  4. Step 4: Simplify right side
    22,811.85x = 274,303,880.75
  5. Step 5: Solve for x
    x = 274,303,880.75/22,811.85
  6. Step 6: Final answer
    x = 12,024.62

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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.