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Finding the Fourth Proportional to 12,584.29, 18,865.64 and 7,033.09

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Solution

The fourth proportional to 12,584.29, 18,865.64 and 7,033.09 is: 10,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.29 : 18,865.64 = 7,033.09 : x
  2. Step 2: Convert to fraction form
    12,584.29/18,865.64 = 7,033.09/x
  3. Step 3: Cross multiply
    12,584.29x = 18,865.64 × 7,033.09
  4. Step 4: Simplify right side
    12,584.29x = 132,683,744.03
  5. Step 5: Solve for x
    x = 132,683,744.03/12,584.29
  6. Step 6: Final answer
    x = 10,543.60

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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.