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Finding the Fourth Proportional to 14,563.68, 21,843.09 and 4,173

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Solution

The fourth proportional to 14,563.68, 21,843.09 and 4,173 is: 6,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.68 : 21,843.09 = 4,173 : x
  2. Step 2: Convert to fraction form
    14,563.68/21,843.09 = 4,173/x
  3. Step 3: Cross multiply
    14,563.68x = 21,843.09 × 4,173
  4. Step 4: Simplify right side
    14,563.68x = 91,151,214.57
  5. Step 5: Solve for x
    x = 91,151,214.57/14,563.68
  6. Step 6: Final answer
    x = 6,258.80

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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.