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Finding the Fourth Proportional to 14,361.29, 19,817.57 and 8,074.61

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Solution

The fourth proportional to 14,361.29, 19,817.57 and 8,074.61 is: 11,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.29 : 19,817.57 = 8,074.61 : x
  2. Step 2: Convert to fraction form
    14,361.29/19,817.57 = 8,074.61/x
  3. Step 3: Cross multiply
    14,361.29x = 19,817.57 × 8,074.61
  4. Step 4: Simplify right side
    14,361.29x = 160,019,108.52
  5. Step 5: Solve for x
    x = 160,019,108.52/14,361.29
  6. Step 6: Final answer
    x = 11,142.39

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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.