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Finding the Fourth Proportional to 14,063.26, 21,096.10 and 3,675

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Solution

The fourth proportional to 14,063.26, 21,096.10 and 3,675 is: 5,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,063.26 : 21,096.10 = 3,675 : x
  2. Step 2: Convert to fraction form
    14,063.26/21,096.10 = 3,675/x
  3. Step 3: Cross multiply
    14,063.26x = 21,096.10 × 3,675
  4. Step 4: Simplify right side
    14,063.26x = 77,528,167.50
  5. Step 5: Solve for x
    x = 77,528,167.50/14,063.26
  6. Step 6: Final answer
    x = 5,512.82

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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.