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Finding the Fourth Proportional to 17,084.10, 25,626.15 and 9,711.30

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Solution

The fourth proportional to 17,084.10, 25,626.15 and 9,711.30 is: 14,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.10 : 25,626.15 = 9,711.30 : x
  2. Step 2: Convert to fraction form
    17,084.10/25,626.15 = 9,711.30/x
  3. Step 3: Cross multiply
    17,084.10x = 25,626.15 × 9,711.30
  4. Step 4: Simplify right side
    17,084.10x = 248,863,230.50
  5. Step 5: Solve for x
    x = 248,863,230.50/17,084.10
  6. Step 6: Final answer
    x = 14,566.95

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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.