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Finding the Fourth Proportional to 14,568.72, 21,837.96 and 7,540.08

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Solution

The fourth proportional to 14,568.72, 21,837.96 and 7,540.08 is: 11,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.72 : 21,837.96 = 7,540.08 : x
  2. Step 2: Convert to fraction form
    14,568.72/21,837.96 = 7,540.08/x
  3. Step 3: Cross multiply
    14,568.72x = 21,837.96 × 7,540.08
  4. Step 4: Simplify right side
    14,568.72x = 164,659,965.44
  5. Step 5: Solve for x
    x = 164,659,965.44/14,568.72
  6. Step 6: Final answer
    x = 11,302.29

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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.