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Finding the Fourth Proportional to 12,210.03, 16,846.38 and 7,673.22

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Solution

The fourth proportional to 12,210.03, 16,846.38 and 7,673.22 is: 10,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.03 : 16,846.38 = 7,673.22 : x
  2. Step 2: Convert to fraction form
    12,210.03/16,846.38 = 7,673.22/x
  3. Step 3: Cross multiply
    12,210.03x = 16,846.38 × 7,673.22
  4. Step 4: Simplify right side
    12,210.03x = 129,265,979.94
  5. Step 5: Solve for x
    x = 129,265,979.94/12,210.03
  6. Step 6: Final answer
    x = 10,586.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.