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Finding the Fourth Proportional to 13,084.50, 19,626.69 and 7,253.46

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Solution

The fourth proportional to 13,084.50, 19,626.69 and 7,253.46 is: 10,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.50 : 19,626.69 = 7,253.46 : x
  2. Step 2: Convert to fraction form
    13,084.50/19,626.69 = 7,253.46/x
  3. Step 3: Cross multiply
    13,084.50x = 19,626.69 × 7,253.46
  4. Step 4: Simplify right side
    13,084.50x = 142,361,410.85
  5. Step 5: Solve for x
    x = 142,361,410.85/13,084.50
  6. Step 6: Final answer
    x = 10,880.16

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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.