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Finding the Fourth Proportional to 14,361.03, 19,817.46 and 8,073

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Solution

The fourth proportional to 14,361.03, 19,817.46 and 8,073 is: 11,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.03 : 19,817.46 = 8,073 : x
  2. Step 2: Convert to fraction form
    14,361.03/19,817.46 = 8,073/x
  3. Step 3: Cross multiply
    14,361.03x = 19,817.46 × 8,073
  4. Step 4: Simplify right side
    14,361.03x = 159,986,354.58
  5. Step 5: Solve for x
    x = 159,986,354.58/14,361.03
  6. Step 6: Final answer
    x = 11,140.31

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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.